Atkin-Lehner |
3+ 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56763c |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
97152 |
Modular degree for the optimal curve |
Δ |
-46056192651 = -1 · 39 · 72 · 17 · 532 |
Discriminant |
Eigenvalues |
-2 3+ -3 7+ -5 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,351,10010] |
[a1,a2,a3,a4,a6] |
Generators |
[25:185:1] [-3:94:1] |
Generators of the group modulo torsion |
j |
242970624/2339897 |
j-invariant |
L |
4.0447267920936 |
L(r)(E,1)/r! |
Ω |
0.83307840531018 |
Real period |
R |
0.60689467616623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56763b1 |
Quadratic twists by: -3 |