Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bs |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-235741138171875 = -1 · 311 · 56 · 7 · 233 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 5 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21675,1433281] |
[a1,a2,a3,a4,a6] |
Generators |
[12050:465521:8] |
Generators of the group modulo torsion |
j |
-98867482624/20696067 |
j-invariant |
L |
12.831927626252 |
L(r)(E,1)/r! |
Ω |
0.53318924366996 |
Real period |
R |
6.0165915660306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12075m1 1449c1 |
Quadratic twists by: -3 5 |