Atkin-Lehner |
2- 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530ba |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
7923963002880 = 224 · 3 · 5 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11205,431307] |
[a1,a2,a3,a4,a6] |
j |
155582848011514321/7923963002880 |
j-invariant |
L |
2.1883332198249 |
L(r)(E,1)/r! |
Ω |
0.72944440660827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76590q1 127650bj1 |
Quadratic twists by: -3 5 |