Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976dh |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
3843840 |
Modular degree for the optimal curve |
Δ |
-5.2088943575303E+20 |
Discriminant |
Eigenvalues |
2- -2 0 2 11- 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1508607,835431871] |
[a1,a2,a3,a4,a6] |
Generators |
[14759:1799512:1] |
Generators of the group modulo torsion |
j |
14205451000/19487171 |
j-invariant |
L |
5.2045846069887 |
L(r)(E,1)/r! |
Ω |
0.11132453245348 |
Real period |
R |
0.55656501657207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976cd1 59488p1 118976cj1 |
Quadratic twists by: -4 8 13 |