Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600bh |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
7442000000000 = 210 · 59 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -4 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10333,-378963] |
[a1,a2,a3,a4,a6] |
Generators |
[-263007:657564:4913] |
Generators of the group modulo torsion |
j |
61011968/3721 |
j-invariant |
L |
8.6473421537186 |
L(r)(E,1)/r! |
Ω |
0.47532847132484 |
Real period |
R |
9.096175251372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600cu1 12200l1 97600bl1 |
Quadratic twists by: -4 8 5 |