Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670bj |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-1205391370982400000 = -1 · 213 · 38 · 55 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-428996,-120539707] |
[a1,a2,a3,a4,a6] |
Generators |
[2589:125713:1] |
Generators of the group modulo torsion |
j |
-74215610396057521/10245657600000 |
j-invariant |
L |
7.7764048396024 |
L(r)(E,1)/r! |
Ω |
0.092563012739007 |
Real period |
R |
1.6156155943063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1830l1 |
Quadratic twists by: -7 |