Atkin-Lehner |
2- 3+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008u |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
395488373243904 = 228 · 36 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 2 0 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39120,2833344] |
[a1,a2,a3,a4,a6] |
j |
1616483976716881/96554778624 |
j-invariant |
L |
4.1993034396549 |
L(r)(E,1)/r! |
Ω |
0.52491295118473 |
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 |
12126g1 |
Quadratic twists by: -4 |