Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576de |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-12892493193216 = -1 · 213 · 3 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 1 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4688,122324] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:1029:8] |
Generators of the group modulo torsion |
j |
68921/78 |
j-invariant |
L |
5.3800277790562 |
L(r)(E,1)/r! |
Ω |
0.47243315799602 |
Real period |
R |
2.8469782910017 |
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 |
3822y1 122304fo1 91728fz1 30576bu1 |
Quadratic twists by: -4 8 -3 -7 |