Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850ch |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3268608 |
Modular degree for the optimal curve |
Δ |
-1.7711450322344E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-494313,242636617] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:18275:1] |
Generators of the group modulo torsion |
j |
-21184951663/28090000 |
j-invariant |
L |
5.5384302841595 |
L(r)(E,1)/r! |
Ω |
0.19717767338713 |
Real period |
R |
3.511065841022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998826844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25970r1 129850cd1 |
Quadratic twists by: 5 -7 |