Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350bs |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-13407768000000000 = -1 · 212 · 36 · 59 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6737,5569781] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-2382:1] |
Generators of the group modulo torsion |
j |
17313676003/6864777216 |
j-invariant |
L |
7.0253087432171 |
L(r)(E,1)/r! |
Ω |
0.30899978499529 |
Real period |
R |
0.94731845084781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050by1 31350bc1 |
Quadratic twists by: -3 5 |