Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12075l |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-591675 = -1 · 3 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -1 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-28,78] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
-100618240/23667 |
j-invariant |
L |
1.731268397597 |
L(r)(E,1)/r! |
Ω |
2.7676928010011 |
Real period |
R |
0.20850921954088 |
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 |
36225br1 12075v1 84525cr1 |
Quadratic twists by: -3 5 -7 |