Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680co |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-763125000000000000 = -1 · 212 · 3 · 516 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26016,42052020] |
[a1,a2,a3,a4,a6] |
Generators |
[1391:51954:1] |
Generators of the group modulo torsion |
j |
-475446909951649/186309814453125 |
j-invariant |
L |
6.8137656235012 |
L(r)(E,1)/r! |
Ω |
0.23056917195258 |
Real period |
R |
7.3879842266749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.00000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6105b4 |
Quadratic twists by: -4 |