Atkin-Lehner |
2+ 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31080c |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32644586096640 = 211 · 35 · 5 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-363336,84417516] |
[a1,a2,a3,a4,a6] |
Generators |
[126007:212610:343] |
Generators of the group modulo torsion |
j |
2590122157929741458/15939739305 |
j-invariant |
L |
4.9033142620408 |
L(r)(E,1)/r! |
Ω |
0.5851211022743 |
Real period |
R |
8.3799990172671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160t4 93240cd4 |
Quadratic twists by: -4 -3 |