Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30192a |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-6353145921005568 = -1 · 211 · 310 · 175 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 -2 5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28272,-3379680] |
[a1,a2,a3,a4,a6] |
j |
1220247692086750/3102122031741 |
j-invariant |
L |
1.7467409279038 |
L(r)(E,1)/r! |
Ω |
0.21834261598794 |
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 |
15096g1 120768cy1 90576g1 |
Quadratic twists by: -4 8 -3 |