Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29988l |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
5757696 = 28 · 33 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -4 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31311,-2132522] |
[a1,a2,a3,a4,a6] |
Generators |
[-12770:6:125] |
Generators of the group modulo torsion |
j |
10023392043504/17 |
j-invariant |
L |
6.4717431760045 |
L(r)(E,1)/r! |
Ω |
0.35890153862576 |
Real period |
R |
3.0053475579889 |
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 |
119952cu1 29988r1 29988f1 |
Quadratic twists by: -4 -3 -7 |