Atkin-Lehner |
3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9405k |
Isogeny class |
Conductor |
9405 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6211153763409375 = -1 · 310 · 55 · 116 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11+ 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24804,4085235] |
[a1,a2,a3,a4,a6] |
j |
-2315107706453569/8520101184375 |
j-invariant |
L |
3.7088399578344 |
L(r)(E,1)/r! |
Ω |
0.37088399578344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3135d1 47025x1 103455bb1 |
Quadratic twists by: -3 5 -11 |