Atkin-Lehner |
2+ 3- 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34770o |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75776 |
Modular degree for the optimal curve |
Δ |
-1320498954240 = -1 · 216 · 3 · 5 · 192 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5093,-150832] |
[a1,a2,a3,a4,a6] |
j |
-14605692573858121/1320498954240 |
j-invariant |
L |
2.2490274858061 |
L(r)(E,1)/r! |
Ω |
0.28112843572459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310bx1 |
Quadratic twists by: -3 |