Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800cc |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-848847511635200 = -1 · 28 · 52 · 77 · 115 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 11- -6 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77815,-8471710] |
[a1,a2,a3,a4,a6] |
j |
-8142048846461520/132632423693 |
j-invariant |
L |
4.9974862603795 |
L(r)(E,1)/r! |
Ω |
0.14278532172527 |
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 |
7700c1 123200ga1 30800cp1 |
Quadratic twists by: -4 8 5 |