Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30192bf |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-143280337698422784 = -1 · 220 · 32 · 177 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 -5 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2445464,1471237524] |
[a1,a2,a3,a4,a6] |
j |
-394864202575558290457/34980551195904 |
j-invariant |
L |
1.2481162581107 |
L(r)(E,1)/r! |
Ω |
0.31202906452747 |
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 |
3774g1 120768cl1 90576ce1 |
Quadratic twists by: -4 8 -3 |