Atkin-Lehner |
2- 3- 5- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330bp |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-2852425228032000 = -1 · 211 · 37 · 53 · 174 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3452,-2569921] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-1619:1] |
Generators of the group modulo torsion |
j |
-6238649591929/3912791808000 |
j-invariant |
L |
9.9386567667451 |
L(r)(E,1)/r! |
Ω |
0.20360207811703 |
Real period |
R |
0.18490197879717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31110d1 |
Quadratic twists by: -3 |