Atkin-Lehner |
2- 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656w |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3612672 |
Modular degree for the optimal curve |
Δ |
-6855478197107032064 = -1 · 228 · 11 · 137 · 37 |
Discriminant |
Eigenvalues |
2- -1 3 4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19331664,32722067392] |
[a1,a2,a3,a4,a6] |
j |
-195061473718063000264657/1673700731715584 |
j-invariant |
L |
3.4054363722363 |
L(r)(E,1)/r! |
Ω |
0.21283977344957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582d1 |
Quadratic twists by: -4 |