Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020bz |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-31434480 = -1 · 24 · 36 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,1757] |
[a1,a2,a3,a4,a6] |
Generators |
[4:27:1] |
Generators of the group modulo torsion |
j |
-3937024/55 |
j-invariant |
L |
5.7781543042328 |
L(r)(E,1)/r! |
Ω |
2.0898049794679 |
Real period |
R |
1.3824625670992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780l1 97020ch1 |
Quadratic twists by: -3 -7 |