Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920cs |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
935168371200000 = 212 · 33 · 55 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66387,6417234] |
[a1,a2,a3,a4,a6] |
Generators |
[73:1400:1] |
Generators of the group modulo torsion |
j |
292583028222603/8456021875 |
j-invariant |
L |
8.284670958966 |
L(r)(E,1)/r! |
Ω |
0.4945823973338 |
Real period |
R |
0.27918067628809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7245f1 115920cg1 |
Quadratic twists by: -4 -3 |