Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480cd |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
3137015443968000 = 212 · 315 · 53 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268581,53417619] |
[a1,a2,a3,a4,a6] |
Generators |
[222:2187:1] |
Generators of the group modulo torsion |
j |
523107854001270784/765872911125 |
j-invariant |
L |
8.835343069855 |
L(r)(E,1)/r! |
Ω |
0.44840260594854 |
Real period |
R |
1.3136026968495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405a1 |
Quadratic twists by: -4 |