Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425o |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-145651300265625 = -1 · 3 · 56 · 710 · 11 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31263,2192406] |
[a1,a2,a3,a4,a6] |
j |
-765625/33 |
j-invariant |
L |
1.149463081468 |
L(r)(E,1)/r! |
Ω |
0.5747315406987 |
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 |
121275eg1 1617e1 40425bt1 |
Quadratic twists by: -3 5 -7 |