Atkin-Lehner |
2- 5- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
107300n |
Isogeny class |
Conductor |
107300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
6706250000 = 24 · 58 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- 1 -4 -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-958,11037] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:75:1] [186:225:8] |
Generators of the group modulo torsion |
j |
15573760/1073 |
j-invariant |
L |
15.552229449962 |
L(r)(E,1)/r! |
Ω |
1.3070038680792 |
Real period |
R |
3.9663818984008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107300c1 |
Quadratic twists by: 5 |