Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440v |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
374232468480 = 210 · 3 · 5 · 13 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4616,-118620] |
[a1,a2,a3,a4,a6] |
Generators |
[99:636:1] [-342:393:8] |
Generators of the group modulo torsion |
j |
10624664796196/365461395 |
j-invariant |
L |
11.764091034185 |
L(r)(E,1)/r! |
Ω |
0.58041918985265 |
Real period |
R |
20.268266863377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720c3 |
Quadratic twists by: -4 |