Atkin-Lehner |
2- 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350bq |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-564300000000 = -1 · 28 · 33 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2763,-67719] |
[a1,a2,a3,a4,a6] |
j |
-5971949905/1444608 |
j-invariant |
L |
2.6007584720612 |
L(r)(E,1)/r! |
Ω |
0.32509480900808 |
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 |
94050bs1 31350u1 |
Quadratic twists by: -3 5 |