Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020bh |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-4428270758419200 = -1 · 28 · 39 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9408,3220868] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:594:1] [364:6930:1] |
Generators of the group modulo torsion |
j |
-205520896/9882675 |
j-invariant |
L |
10.821059769984 |
L(r)(E,1)/r! |
Ω |
0.36180944054096 |
Real period |
R |
0.10384782703581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340i1 97020db1 |
Quadratic twists by: -3 -7 |