Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020de |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1764511665840 = -1 · 24 · 312 · 5 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6132,-195559] |
[a1,a2,a3,a4,a6] |
j |
-6373654528/441045 |
j-invariant |
L |
3.2241946354193 |
L(r)(E,1)/r! |
Ω |
0.2686829055361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340d1 97020ca1 |
Quadratic twists by: -3 -7 |