Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800ct |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-5073784012800000000 = -1 · 225 · 38 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288408,-123784812] |
[a1,a2,a3,a4,a6] |
j |
-41454067728529/79277875200 |
j-invariant |
L |
3.1023933000459 |
L(r)(E,1)/r! |
Ω |
0.096949790527244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850b1 14160o1 |
Quadratic twists by: -4 5 |