Atkin-Lehner |
2- 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360s |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
116928 |
Modular degree for the optimal curve |
Δ |
-1150558615050240 = -1 · 211 · 3 · 5 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18384,1314060] |
[a1,a2,a3,a4,a6] |
j |
335498181215902/561796198755 |
j-invariant |
L |
0.33376647606202 |
L(r)(E,1)/r! |
Ω |
0.33376647606093 |
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 |
60720v1 91080bb1 |
Quadratic twists by: -4 -3 |