Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350cq |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60912 |
Modular degree for the optimal curve |
Δ |
-3537800 = -1 · 23 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 4 -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30,117] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-9:1] |
Generators of the group modulo torsion |
j |
-320625/392 |
j-invariant |
L |
6.1437299907601 |
L(r)(E,1)/r! |
Ω |
2.2610153540922 |
Real period |
R |
0.45287396815572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350by1 126350i1 |
Quadratic twists by: 5 -19 |