Atkin-Lehner |
3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
85305j |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-1371258011067503625 = -1 · 33 · 53 · 116 · 475 |
Discriminant |
Eigenvalues |
1 3+ 5- 5 11- -3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14522,-56350191] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/774039398625 |
j-invariant |
L |
3.6835058606776 |
L(r)(E,1)/r! |
Ω |
0.12278352855834 |
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 |
705b1 |
Quadratic twists by: -11 |