Atkin-Lehner |
7- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
110593f |
Isogeny class |
Conductor |
110593 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
16197561373 = 76 · 37 · 612 |
Discriminant |
Eigenvalues |
0 -1 4 7- -3 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-751,5284] |
[a1,a2,a3,a4,a6] |
j |
398688256/137677 |
j-invariant |
L |
2.2758773875081 |
L(r)(E,1)/r! |
Ω |
1.1379388825191 |
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 |
2257a1 |
Quadratic twists by: -7 |