Atkin-Lehner |
2+ 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12402f |
Isogeny class |
Conductor |
12402 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-2303452629504 = -1 · 29 · 36 · 133 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 0 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-468,-73008] |
[a1,a2,a3,a4,a6] |
j |
-15568817473/3159742976 |
j-invariant |
L |
2.1919768340464 |
L(r)(E,1)/r! |
Ω |
0.36532947234107 |
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 |
99216bs1 1378d1 |
Quadratic twists by: -4 -3 |