Atkin-Lehner |
3+ 7- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
24969b |
Isogeny class |
Conductor |
24969 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-3670443 = -1 · 32 · 73 · 29 · 41 |
Discriminant |
Eigenvalues |
-2 3+ -4 7- 0 -1 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,0,92] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-11:1] [-3:7:1] |
Generators of the group modulo torsion |
j |
-4096/3670443 |
j-invariant |
L |
2.8499493195721 |
L(r)(E,1)/r! |
Ω |
1.9825129800842 |
Real period |
R |
0.23959063977593 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74907g1 |
Quadratic twists by: -3 |