Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425cl |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
1.2091230010986E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2137158,1190143469] |
[a1,a2,a3,a4,a6] |
Generators |
[47492:234343:64] |
Generators of the group modulo torsion |
j |
1409995418369929216/15792626953125 |
j-invariant |
L |
14.371124356634 |
L(r)(E,1)/r! |
Ω |
0.22652828495132 |
Real period |
R |
3.1720375139297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275eu1 8085i1 40425f1 |
Quadratic twists by: -3 5 -7 |