Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630cs |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
370059721113600 = 216 · 33 · 52 · 73 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-93045,10846107] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:4716:1] |
Generators of the group modulo torsion |
j |
259722159048518167/1078891315200 |
j-invariant |
L |
8.0596821929214 |
L(r)(E,1)/r! |
Ω |
0.53909818732582 |
Real period |
R |
0.31146468237771 |
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 |
127890bp1 42630db1 |
Quadratic twists by: -3 -7 |