Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675f |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-446715516533203125 = -1 · 36 · 510 · 137 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 1 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,50612,31877906] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:4638:1] |
Generators of the group modulo torsion |
j |
304175/9477 |
j-invariant |
L |
2.4365774978899 |
L(r)(E,1)/r! |
Ω |
0.22380658468476 |
Real period |
R |
1.3608723249373 |
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 |
38025bd1 12675bf1 975c1 |
Quadratic twists by: -3 5 13 |