Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800cz |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-264259584000000000 = -1 · 220 · 37 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 6 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-579208,-171654412] |
[a1,a2,a3,a4,a6] |
j |
-2686198671701/33032448 |
j-invariant |
L |
2.4210341824597 |
L(r)(E,1)/r! |
Ω |
0.08646550660943 |
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 |
8850f1 70800bu1 |
Quadratic twists by: -4 5 |