Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960dv |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-16145775360 = -1 · 28 · 36 · 5 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1368,20412] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:198:1] |
Generators of the group modulo torsion |
j |
-1517101056/86515 |
j-invariant |
L |
7.3973791599305 |
L(r)(E,1)/r! |
Ω |
1.2219772652329 |
Real period |
R |
0.5044678664535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25740c1 11440o1 |
Quadratic twists by: -4 -3 |