Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976dd |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2.1193212897771E+19 |
Discriminant |
Eigenvalues |
2- 2 -1 1 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-714081,321177089] |
[a1,a2,a3,a4,a6] |
Generators |
[-277:22308:1] |
Generators of the group modulo torsion |
j |
-31824875809/16749304 |
j-invariant |
L |
9.9893748968237 |
L(r)(E,1)/r! |
Ω |
0.20028887928015 |
Real period |
R |
1.2468708880702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976n1 29744s1 9152w1 |
Quadratic twists by: -4 8 13 |