Atkin-Lehner |
2- 3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334bn |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1352320329090443328 = 26 · 313 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-885110,-315369147] |
[a1,a2,a3,a4,a6] |
Generators |
[-489:827:1] |
Generators of the group modulo torsion |
j |
105193151438106201625/1855034744980032 |
j-invariant |
L |
7.9545488753983 |
L(r)(E,1)/r! |
Ω |
0.15581706293177 |
Real period |
R |
4.2542136302501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778c1 |
Quadratic twists by: -3 |