Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850fu |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2880000 |
Modular degree for the optimal curve |
Δ |
-126578536734375000 = -1 · 23 · 37 · 59 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5732555,5284336947] |
[a1,a2,a3,a4,a6] |
Generators |
[1469:4890:1] |
Generators of the group modulo torsion |
j |
-14632238262508469/88900152 |
j-invariant |
L |
11.819999072775 |
L(r)(E,1)/r! |
Ω |
0.2937854474639 |
Real period |
R |
1.6763933156403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950o1 113850ci1 |
Quadratic twists by: -3 5 |