Atkin-Lehner |
3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12075n |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-748838671875 = -1 · 35 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 4 6 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,167,-41682] |
[a1,a2,a3,a4,a6] |
Generators |
[92:862:1] |
Generators of the group modulo torsion |
j |
1310720/1917027 |
j-invariant |
L |
3.2618142836786 |
L(r)(E,1)/r! |
Ω |
0.41839965648108 |
Real period |
R |
2.5986432136137 |
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 |
36225ca1 12075r1 84525db1 |
Quadratic twists by: -3 5 -7 |