Atkin-Lehner |
2+ 3+ 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34410a |
Isogeny class |
Conductor |
34410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-154121564160 = -1 · 212 · 38 · 5 · 31 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1608,30528] |
[a1,a2,a3,a4,a6] |
Generators |
[16:88:1] |
Generators of the group modulo torsion |
j |
-460260582440329/154121564160 |
j-invariant |
L |
1.5023686626956 |
L(r)(E,1)/r! |
Ω |
0.96863755017187 |
Real period |
R |
1.5510122051626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103230bb1 |
Quadratic twists by: -3 |