Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bk |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
13063680 |
Modular degree for the optimal curve |
Δ |
-2.8911793695548E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75392200,-253313290000] |
[a1,a2,a3,a4,a6] |
Generators |
[10475:326250:1] |
Generators of the group modulo torsion |
j |
-81920503901854898/499763671875 |
j-invariant |
L |
9.0494863361684 |
L(r)(E,1)/r! |
Ω |
0.025608232107386 |
Real period |
R |
4.3627398030181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76440b1 |
Quadratic twists by: -7 |