Atkin-Lehner |
2+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12350l |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-117325000000 = -1 · 26 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 -5 13- -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1742,32916] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:253:1] [-12:234:1] |
Generators of the group modulo torsion |
j |
-1497091545/300352 |
j-invariant |
L |
4.6120265053996 |
L(r)(E,1)/r! |
Ω |
1.0061368592092 |
Real period |
R |
0.38199131519611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800cu1 111150fl1 12350m1 |
Quadratic twists by: -4 -3 5 |