Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
88360h |
Isogeny class |
Conductor |
88360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
2827520 = 28 · 5 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -3 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47,-94] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] |
Generators of the group modulo torsion |
j |
20304/5 |
j-invariant |
L |
4.3110122572218 |
L(r)(E,1)/r! |
Ω |
1.8561860730422 |
Real period |
R |
1.1612554161589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88360a1 |
Quadratic twists by: -47 |