Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400bf |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
343200 |
Modular degree for the optimal curve |
Δ |
-1417248800000000 = -1 · 211 · 58 · 116 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 11- -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15125,-1663750] |
[a1,a2,a3,a4,a6] |
Generators |
[12879537:253580212:35937] |
Generators of the group modulo torsion |
j |
270 |
j-invariant |
L |
11.576876369587 |
L(r)(E,1)/r! |
Ω |
0.24380516983854 |
Real period |
R |
11.871032490058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24200bf1 48400q1 400g1 |
Quadratic twists by: -4 5 -11 |