Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720v |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
233856 |
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 |
3.5953363373386 |
L(r)(E,1)/r! |
Ω |
0.25680973825177 |
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 |
30360s1 |
Quadratic twists by: -4 |