Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568i |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
799200 |
Modular degree for the optimal curve |
Δ |
40969560350534544 = 24 · 36 · 378 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 0 3 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151959,20615771] |
[a1,a2,a3,a4,a6] |
j |
9472 |
j-invariant |
L |
2.1090270455128 |
L(r)(E,1)/r! |
Ω |
0.35150451940672 |
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 |
10952d1 98568v1 |
Quadratic twists by: -3 37 |