Atkin-Lehner |
2- 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85358m |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25632 |
Modular degree for the optimal curve |
Δ |
-4182542 = -1 · 2 · 74 · 13 · 67 |
Discriminant |
Eigenvalues |
2- -1 4 7+ -2 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1,-99] |
[a1,a2,a3,a4,a6] |
j |
-49/1742 |
j-invariant |
L |
4.4990879523839 |
L(r)(E,1)/r! |
Ω |
1.1247719964405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85358s1 |
Quadratic twists by: -7 |