Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240bg |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
79971241680 = 24 · 314 · 5 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3378,74333] |
[a1,a2,a3,a4,a6] |
Generators |
[38:29:1] |
Generators of the group modulo torsion |
j |
365472864256/6856245 |
j-invariant |
L |
6.512750177109 |
L(r)(E,1)/r! |
Ω |
1.0845897512261 |
Real period |
R |
3.00240260032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080e1 |
Quadratic twists by: -3 |