Atkin-Lehner |
3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30855p |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-50732718289171875 = -1 · 34 · 56 · 119 · 17 |
Discriminant |
Eigenvalues |
2 3- 5- -1 11+ 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,35050,-10526719] |
[a1,a2,a3,a4,a6] |
j |
2019487744/21515625 |
j-invariant |
L |
8.4201166749624 |
L(r)(E,1)/r! |
Ω |
0.17541909739512 |
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 |
92565v1 30855n1 |
Quadratic twists by: -3 -11 |