Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450j |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-6.0083962092001E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-104275675,-554172027875] |
[a1,a2,a3,a4,a6] |
Generators |
[26878735:71036545:2197] |
Generators of the group modulo torsion |
j |
-8025141932308829504241073/3845373573888057802752 |
j-invariant |
L |
3.7578711328475 |
L(r)(E,1)/r! |
Ω |
0.02309348677238 |
Real period |
R |
6.7801785590868 |
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 |
91350ep1 1218h1 |
Quadratic twists by: -3 5 |