Atkin-Lehner |
2+ 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
78694b |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19768320 |
Modular degree for the optimal curve |
Δ |
1.5249602501399E+26 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- 11+ -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-166306205,573130116229] |
[a1,a2,a3,a4,a6] |
j |
4323752573967079063256601/1296194825404320579584 |
j-invariant |
L |
0.42872700258255 |
L(r)(E,1)/r! |
Ω |
0.053590876323244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242b1 |
Quadratic twists by: -7 |