Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
74200q |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
649250000 = 24 · 56 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21650,1226125] |
[a1,a2,a3,a4,a6] |
Generators |
[94:147:1] |
Generators of the group modulo torsion |
j |
4489080625152/2597 |
j-invariant |
L |
5.1703048316138 |
L(r)(E,1)/r! |
Ω |
1.3323983203115 |
Real period |
R |
1.9402249133127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2968a1 |
Quadratic twists by: 5 |