Atkin-Lehner |
2+ 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530g |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-74669506560 = -1 · 214 · 35 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-893,16317] |
[a1,a2,a3,a4,a6] |
j |
-652007198689/617103360 |
j-invariant |
L |
1.9890275270633 |
L(r)(E,1)/r! |
Ω |
0.99451404550577 |
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 |
112530bq1 |
Quadratic twists by: -11 |