Atkin-Lehner |
2+ 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
60384q |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-110904883236864 = -1 · 212 · 316 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 -5 -1 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11359,-195249] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2916:1] |
Generators of the group modulo torsion |
j |
39568157590976/27076387509 |
j-invariant |
L |
4.0938222362267 |
L(r)(E,1)/r! |
Ω |
0.33596690043138 |
Real period |
R |
0.19039367375551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384e1 120768cd1 |
Quadratic twists by: -4 8 |