Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400df |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-3.22828856E+19 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 5 5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2018800,-1137388000] |
[a1,a2,a3,a4,a6] |
j |
-30211716096/1071875 |
j-invariant |
L |
6.3196325620191 |
L(r)(E,1)/r! |
Ω |
0.063196325728355 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400jf1 9800bm1 15680bz1 11200m1 |
Quadratic twists by: -4 8 5 -7 |