Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800n |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-119098502908000000 = -1 · 28 · 56 · 75 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95692,-12109888] |
[a1,a2,a3,a4,a6] |
Generators |
[508:12936:1] |
Generators of the group modulo torsion |
j |
24226243449392/29774625727 |
j-invariant |
L |
8.1519944576073 |
L(r)(E,1)/r! |
Ω |
0.17769119410805 |
Real period |
R |
1.5292437531917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15400m1 123200fv1 1232d1 |
Quadratic twists by: -4 8 5 |