Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15624s |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-726652585008 = -1 · 24 · 39 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13662,616005] |
[a1,a2,a3,a4,a6] |
Generators |
[54:189:1] |
Generators of the group modulo torsion |
j |
-895478740992/2307361 |
j-invariant |
L |
3.1342341597188 |
L(r)(E,1)/r! |
Ω |
0.90444837503359 |
Real period |
R |
0.43316930051458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248d1 124992s1 15624d1 109368bj1 |
Quadratic twists by: -4 8 -3 -7 |