Atkin-Lehner |
5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275d |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
892800 |
Modular degree for the optimal curve |
Δ |
1651742556611328125 = 510 · 77 · 593 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-469583,107159994] |
[a1,a2,a3,a4,a6] |
j |
9967206400/1437653 |
j-invariant |
L |
1.0227925697217 |
L(r)(E,1)/r! |
Ω |
0.25569814228804 |
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 |
72275n1 10325a1 |
Quadratic twists by: 5 -7 |