Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974bm |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2004480 |
Modular degree for the optimal curve |
Δ |
-3745574743407550326 = -1 · 2 · 36 · 77 · 133 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1629790,-806913871] |
[a1,a2,a3,a4,a6] |
Generators |
[14854:398325:8] |
Generators of the group modulo torsion |
j |
-4069400507818743889/31836860010774 |
j-invariant |
L |
9.9766741941603 |
L(r)(E,1)/r! |
Ω |
0.06677805815265 |
Real period |
R |
2.4900080630655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282t1 |
Quadratic twists by: -7 |