Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248t |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-4007918354189347584 = -1 · 28 · 313 · 73 · 315 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,83364,-95873668] |
[a1,a2,a3,a4,a6] |
Generators |
[28514:1706103:8] |
Generators of the group modulo torsion |
j |
343314268285952/21475899960291 |
j-invariant |
L |
7.5426404668453 |
L(r)(E,1)/r! |
Ω |
0.11806412335055 |
Real period |
R |
5.323830427054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15624w1 124992gg1 10416e1 |
Quadratic twists by: -4 8 -3 |