Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762bn |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-412143260368896 = -1 · 215 · 313 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 -5 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11598,-849276] |
[a1,a2,a3,a4,a6] |
Generators |
[564:-13890:1] |
Generators of the group modulo torsion |
j |
503009937352889/1201583849472 |
j-invariant |
L |
6.024747794761 |
L(r)(E,1)/r! |
Ω |
0.27498142724082 |
Real period |
R |
0.056178598764379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54096bp1 20286z1 6762bc1 |
Quadratic twists by: -4 -3 -7 |