Atkin-Lehner |
2+ 3- 7- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124614i |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-21529207873152 = -1 · 27 · 38 · 72 · 233 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 0 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-428202,-107743500] |
[a1,a2,a3,a4,a6] |
Generators |
[1527:52125:1] |
Generators of the group modulo torsion |
j |
-11910852007694718625/29532521088 |
j-invariant |
L |
3.7962227235352 |
L(r)(E,1)/r! |
Ω |
0.093316249153946 |
Real period |
R |
3.3901051330773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999485263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41538m1 |
Quadratic twists by: -3 |