Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425g |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
133761398203125 = 33 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 11+ 5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20008,-929832] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:387:1] |
Generators of the group modulo torsion |
j |
9834496/1485 |
j-invariant |
L |
2.5035621573271 |
L(r)(E,1)/r! |
Ω |
0.40548332863674 |
Real period |
R |
3.087133280851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275cu1 8085s1 40425cm1 |
Quadratic twists by: -3 5 -7 |