Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840bh |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
7225344 |
Modular degree for the optimal curve |
Δ |
-8.2807246390651E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8755707,10890838006] |
[a1,a2,a3,a4,a6] |
Generators |
[2462:65250:1] |
Generators of the group modulo torsion |
j |
-49721004200512028018/5546395854140625 |
j-invariant |
L |
9.5215380719352 |
L(r)(E,1)/r! |
Ω |
0.12741096050738 |
Real period |
R |
1.779307571173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38280j1 |
Quadratic twists by: -3 |