Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520f |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
607564013651200 = 28 · 52 · 377 |
Discriminant |
Eigenvalues |
2+ 3 5- 5 3 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38332,-2633956] |
[a1,a2,a3,a4,a6] |
j |
9483264/925 |
j-invariant |
L |
10.986873566376 |
L(r)(E,1)/r! |
Ω |
0.34333982269026 |
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 |
54760g1 2960a1 |
Quadratic twists by: -4 37 |