Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12075o |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
1388625 = 3 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1155,-15600] |
[a1,a2,a3,a4,a6] |
Generators |
[176:2208:1] |
Generators of the group modulo torsion |
j |
1365045221357/11109 |
j-invariant |
L |
4.3221712876188 |
L(r)(E,1)/r! |
Ω |
0.818851825879 |
Real period |
R |
5.2783313794033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36225cj1 12075w1 84525cx1 |
Quadratic twists by: -3 5 -7 |