Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430f |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
788480 |
Modular degree for the optimal curve |
Δ |
7204632109762500 = 22 · 33 · 55 · 79 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82770,-8184800] |
[a1,a2,a3,a4,a6] |
Generators |
[528:9488:1] |
Generators of the group modulo torsion |
j |
57557166381/6612500 |
j-invariant |
L |
5.2434983394196 |
L(r)(E,1)/r! |
Ω |
0.28357623797925 |
Real period |
R |
4.6226531289059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430de1 101430o1 |
Quadratic twists by: -3 -7 |