Atkin-Lehner |
2- 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498bj |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2040192 |
Modular degree for the optimal curve |
Δ |
234072224267139468 = 22 · 33 · 72 · 897 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -3 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-499988,-133947061] |
[a1,a2,a3,a4,a6] |
j |
10448207692477721523/176925339582116 |
j-invariant |
L |
5.032268558161 |
L(r)(E,1)/r! |
Ω |
0.17972387912229 |
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 |
78498f1 78498ba1 |
Quadratic twists by: -3 -7 |