Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886y |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-1479505299765457734 = -1 · 2 · 311 · 7 · 1110 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- 1 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6234,-58524531] |
[a1,a2,a3,a4,a6] |
Generators |
[352145266413426103946928717026502:2712944290159848829342438864485633:844024426883503330569878039176] |
Generators of the group modulo torsion |
j |
-15124197817/835142171094 |
j-invariant |
L |
12.295898224684 |
L(r)(E,1)/r! |
Ω |
0.12273466692716 |
Real period |
R |
50.091382217144 |
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 |
10626b1 |
Quadratic twists by: -11 |