Atkin-Lehner |
2- 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bl |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-1658763739586250000 = -1 · 24 · 39 · 57 · 113 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2317588,1358455781] |
[a1,a2,a3,a4,a6] |
j |
-88107402579857023609/106160879333520 |
j-invariant |
L |
2.1233193899744 |
L(r)(E,1)/r! |
Ω |
0.2654149240228 |
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 |
12210m1 |
Quadratic twists by: 5 |