Atkin-Lehner |
2+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894g |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
3913458144641024 = 217 · 76 · 193 · 37 |
Discriminant |
Eigenvalues |
2+ -2 1 7- -1 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-102338,12227604] |
[a1,a2,a3,a4,a6] |
Generators |
[298:2717:1] |
Generators of the group modulo torsion |
j |
1007488615738249/33263845376 |
j-invariant |
L |
3.2386370635692 |
L(r)(E,1)/r! |
Ω |
0.43817624250445 |
Real period |
R |
3.6955872415907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406c1 |
Quadratic twists by: -7 |