Atkin-Lehner |
2+ 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
88298d |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
1236172 = 22 · 73 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -3 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-60,148] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:18:1] [1:9:1] |
Generators of the group modulo torsion |
j |
71473375/3604 |
j-invariant |
L |
6.427390947295 |
L(r)(E,1)/r! |
Ω |
2.6934776966553 |
Real period |
R |
0.59656990619784 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88298n1 |
Quadratic twists by: -7 |