Atkin-Lehner |
3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225ca |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-545903391796875 = -1 · 311 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -4 6 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1500,1123906] |
[a1,a2,a3,a4,a6] |
Generators |
[26:1086:1] |
Generators of the group modulo torsion |
j |
1310720/1917027 |
j-invariant |
L |
4.1664118119986 |
L(r)(E,1)/r! |
Ω |
0.40666526650326 |
Real period |
R |
5.1226551111977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12075n1 36225bv1 |
Quadratic twists by: -3 5 |