Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072bq |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
230862904272 = 24 · 38 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2586,45029] |
[a1,a2,a3,a4,a6] |
Generators |
[46:153:1] |
Generators of the group modulo torsion |
j |
163969005568/19792773 |
j-invariant |
L |
4.7079560578098 |
L(r)(E,1)/r! |
Ω |
0.95843674061834 |
Real period |
R |
2.4560598828645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024c1 |
Quadratic twists by: -3 |