Atkin-Lehner |
2- 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25668b |
Isogeny class |
Conductor |
25668 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
2607047424 = 28 · 33 · 233 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -3 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1359,19126] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:46:1] [-13:186:1] |
Generators of the group modulo torsion |
j |
40158580464/377177 |
j-invariant |
L |
6.5234524260596 |
L(r)(E,1)/r! |
Ω |
1.4485780998404 |
Real period |
R |
2.2516743925578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102672v1 25668a2 |
Quadratic twists by: -4 -3 |