Atkin-Lehner |
2+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7310d |
Isogeny class |
Conductor |
7310 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
232880 |
Modular degree for the optimal curve |
Δ |
-345609489958830080 = -1 · 241 · 5 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3 5+ 4 0 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,106760,24868160] |
[a1,a2,a3,a4,a6] |
j |
134569648880532339111/345609489958830080 |
j-invariant |
L |
3.8209076586244 |
L(r)(E,1)/r! |
Ω |
0.21227264770136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58480c1 65790cz1 36550w1 124270r1 |
Quadratic twists by: -4 -3 5 17 |