Atkin-Lehner |
2+ 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610w |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
37065600 |
Modular degree for the optimal curve |
Δ |
6.139848978432E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-127593287,406899980661] |
[a1,a2,a3,a4,a6] |
Generators |
[-7513:974069:1] |
Generators of the group modulo torsion |
j |
1359316190946693608197656529/363304673280000000000000 |
j-invariant |
L |
4.5235521884669 |
L(r)(E,1)/r! |
Ω |
0.058204062614356 |
Real period |
R |
0.99639537231901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610bw1 |
Quadratic twists by: 13 |