Atkin-Lehner |
3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275bg |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-10070341939125 = -1 · 313 · 53 · 133 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- -3 3 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3627,-173394] |
[a1,a2,a3,a4,a6] |
Generators |
[78:78:1] |
Generators of the group modulo torsion |
j |
-57915683909/110511297 |
j-invariant |
L |
6.8619541419818 |
L(r)(E,1)/r! |
Ω |
0.28952920096901 |
Real period |
R |
1.9750322590801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22425u1 67275ba1 |
Quadratic twists by: -3 5 |