Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200bk |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-1054720000 = -1 · 214 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 0 5- -1 0 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,-2350] |
[a1,a2,a3,a4,a6] |
Generators |
[25:80:1] |
Generators of the group modulo torsion |
j |
-898425/412 |
j-invariant |
L |
5.2033022739644 |
L(r)(E,1)/r! |
Ω |
0.57351631927825 |
Real period |
R |
0.7560526322532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5150f1 41200bd1 |
Quadratic twists by: -4 5 |