Atkin-Lehner |
2- 3- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
90768o |
Isogeny class |
Conductor |
90768 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
-886146925824 = -1 · 28 · 310 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -3 7 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2604,-69192] |
[a1,a2,a3,a4,a6] |
j |
-7630859468752/3461511429 |
j-invariant |
L |
6.5398592632351 |
L(r)(E,1)/r! |
Ω |
0.32699296294063 |
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 |
22692a1 |
Quadratic twists by: -4 |