Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cr |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
89415210603600 = 24 · 33 · 52 · 73 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13488,395663] |
[a1,a2,a3,a4,a6] |
Generators |
[29:170:1] |
Generators of the group modulo torsion |
j |
628177876549632/206979654175 |
j-invariant |
L |
4.9442364393989 |
L(r)(E,1)/r! |
Ω |
0.55683847244056 |
Real period |
R |
1.4798535814204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420d1 85680db3 |
Quadratic twists by: -4 -3 |