Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600bd |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-459270000 = -1 · 24 · 38 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2775,56275] |
[a1,a2,a3,a4,a6] |
Generators |
[35:45:1] |
Generators of the group modulo torsion |
j |
-324179200/63 |
j-invariant |
L |
5.0270842888819 |
L(r)(E,1)/r! |
Ω |
1.6178365287573 |
Real period |
R |
0.25894067991032 |
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 |
25200cn1 100800he1 4200be1 12600cf1 |
Quadratic twists by: -4 8 -3 5 |