Atkin-Lehner |
2+ 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
71920c |
Isogeny class |
Conductor |
71920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75776 |
Modular degree for the optimal curve |
Δ |
11147600 = 24 · 52 · 29 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 0 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9291,-347816] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:11245:8] |
Generators of the group modulo torsion |
j |
5544186773407744/696725 |
j-invariant |
L |
2.8858091474774 |
L(r)(E,1)/r! |
Ω |
0.48627287839601 |
Real period |
R |
5.934546788885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35960a1 |
Quadratic twists by: -4 |