Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680ba |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-1.8156084605747E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1301424,-305716076] |
[a1,a2,a3,a4,a6] |
Generators |
[324:12250:1] |
Generators of the group modulo torsion |
j |
505861496763839/376768000000 |
j-invariant |
L |
3.3748748668387 |
L(r)(E,1)/r! |
Ω |
0.10078964439258 |
Real period |
R |
2.0927713258032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14210o1 16240q1 |
Quadratic twists by: -4 -7 |