Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cg |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11658240 |
Modular degree for the optimal curve |
Δ |
-277138191494283264 = -1 · 217 · 33 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 -5 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-416581857,-3272504208255] |
[a1,a2,a3,a4,a6] |
Generators |
[4772367548563029190850771297794588271723310453953738995:128261092410513992228583958113028621229738695883999977680:199746535359137232797136795587124909555980932780927] |
Generators of the group modulo torsion |
j |
-778918741604594/27 |
j-invariant |
L |
5.7337920239116 |
L(r)(E,1)/r! |
Ω |
0.016708769620097 |
Real period |
R |
85.790159213986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568z1 25392m1 101568cp1 |
Quadratic twists by: -4 8 -23 |