Atkin-Lehner |
2- 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610t |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
24954245716377600 = 220 · 310 · 52 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-229478,-41565963] |
[a1,a2,a3,a4,a6] |
j |
1833232627165506841/34230789734400 |
j-invariant |
L |
4.3675395639321 |
L(r)(E,1)/r! |
Ω |
0.21837697819665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870a1 |
Quadratic twists by: -3 |