Atkin-Lehner |
2- 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672x |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
57483177984 = 212 · 39 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 1 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92259,-10786014] |
[a1,a2,a3,a4,a6] |
j |
1077205843251/713 |
j-invariant |
L |
1.0957394630619 |
L(r)(E,1)/r! |
Ω |
0.27393491273537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6417f1 102672bb1 |
Quadratic twists by: -4 -3 |