Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230s |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1.0569621045265E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1276875,252811125] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:22305:1] |
Generators of the group modulo torsion |
j |
178272935636041/81841914000 |
j-invariant |
L |
4.3652050826717 |
L(r)(E,1)/r! |
Ω |
0.16866608797306 |
Real period |
R |
6.4701878339052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002495 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cu1 6930ba1 |
Quadratic twists by: -3 -11 |