Atkin-Lehner |
3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9225n |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-20679451875 = -1 · 39 · 54 · 412 |
Discriminant |
Eigenvalues |
2 3+ 5- -1 6 -5 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,675,-1519] |
[a1,a2,a3,a4,a6] |
Generators |
[18:23:8] |
Generators of the group modulo torsion |
j |
2764800/1681 |
j-invariant |
L |
8.465273524246 |
L(r)(E,1)/r! |
Ω |
0.70378989843195 |
Real period |
R |
3.0070314816633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9225k1 9225h1 |
Quadratic twists by: -3 5 |