Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425i |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-18418640625 = -1 · 37 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 0 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,500,5125] |
[a1,a2,a3,a4,a6] |
j |
17999471/24057 |
j-invariant |
L |
1.6512017680441 |
L(r)(E,1)/r! |
Ω |
0.82560088404094 |
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 |
121275el1 1617h1 40425bs1 |
Quadratic twists by: -3 5 -7 |