Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7590w |
Isogeny class |
Conductor |
7590 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-2890879200000000 = -1 · 211 · 33 · 58 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-630235,192330665] |
[a1,a2,a3,a4,a6] |
Generators |
[463:-2:1] |
Generators of the group modulo torsion |
j |
-27684157359106812821041/2890879200000000 |
j-invariant |
L |
5.1739771833381 |
L(r)(E,1)/r! |
Ω |
0.43350018269146 |
Real period |
R |
0.045209665887694 |
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 |
60720co1 22770g1 37950bh1 83490p1 |
Quadratic twists by: -4 -3 5 -11 |