Atkin-Lehner |
2- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402bg |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
436128 |
Modular degree for the optimal curve |
Δ |
-1596915357834368 = -1 · 27 · 1110 · 13 · 37 |
Discriminant |
Eigenvalues |
2- -1 0 -1 11- 13- 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28977,315349] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:338:1] |
Generators of the group modulo torsion |
j |
103742375/61568 |
j-invariant |
L |
9.2409850231901 |
L(r)(E,1)/r! |
Ω |
0.28965084305926 |
Real period |
R |
4.5576968197677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999344343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116402i1 |
Quadratic twists by: -11 |