Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850dn |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-43822231200 = -1 · 25 · 39 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4835,-128573] |
[a1,a2,a3,a4,a6] |
j |
-25397889795/89056 |
j-invariant |
L |
5.7242200589446 |
L(r)(E,1)/r! |
Ω |
0.28621097934236 |
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 |
113850d1 113850r1 |
Quadratic twists by: -3 5 |