Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
107604ba |
Isogeny class |
Conductor |
107604 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
3904733952 = 28 · 36 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -3 4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1407,-20090] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:14:1] |
Generators of the group modulo torsion |
j |
4812208/61 |
j-invariant |
L |
3.9327586442329 |
L(r)(E,1)/r! |
Ω |
0.78011570779398 |
Real period |
R |
0.84020840923035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999416842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11956h1 107604t1 |
Quadratic twists by: -3 -7 |