Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723be |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
227715404301 = 33 · 79 · 11 · 19 |
Discriminant |
Eigenvalues |
2 3- 3 7- 11- -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6974,220679] |
[a1,a2,a3,a4,a6] |
Generators |
[618:3083:8] |
Generators of the group modulo torsion |
j |
929714176/5643 |
j-invariant |
L |
15.785583591031 |
L(r)(E,1)/r! |
Ω |
0.99876199298507 |
Real period |
R |
2.6341917463659 |
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 |
92169z1 30723m1 |
Quadratic twists by: -3 -7 |