Atkin-Lehner |
2+ 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850bb |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-911365464487500000 = -1 · 25 · 39 · 58 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ 7 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2071692,-1148120784] |
[a1,a2,a3,a4,a6] |
j |
-86328032428786681/80010136800 |
j-invariant |
L |
0.50333012938823 |
L(r)(E,1)/r! |
Ω |
0.062916436303492 |
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 |
37950dd1 22770bl1 |
Quadratic twists by: -3 5 |