Atkin-Lehner |
3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9225v |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-20175075 = -1 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 3 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,60,121] |
[a1,a2,a3,a4,a6] |
Generators |
[1:13:1] |
Generators of the group modulo torsion |
j |
1310720/1107 |
j-invariant |
L |
3.1975113319213 |
L(r)(E,1)/r! |
Ω |
1.401265139701 |
Real period |
R |
1.1409373006324 |
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 |
3075b1 9225bd1 |
Quadratic twists by: -3 5 |