Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925cf |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2808000 |
Modular degree for the optimal curve |
Δ |
-5.6784040092158E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,412799,-347849827] |
[a1,a2,a3,a4,a6] |
j |
6771000575/49424013 |
j-invariant |
L |
2.5656078447706 |
L(r)(E,1)/r! |
Ω |
0.09867722769847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bm1 2325a1 |
Quadratic twists by: 5 -7 |