Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712dw |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
1.5727675931379E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3839916,2178851024] |
[a1,a2,a3,a4,a6] |
Generators |
[-1348:70040:1] [-1331:70227:1] |
Generators of the group modulo torsion |
j |
32765849647039657/8229948198912 |
j-invariant |
L |
10.131131523765 |
L(r)(E,1)/r! |
Ω |
0.14094342571989 |
Real period |
R |
4.492552363537 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712cj1 26928bt1 35904bx1 |
Quadratic twists by: -4 8 -3 |