Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200o |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-472320000 = -1 · 211 · 32 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,192,-288] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-60:1] |
Generators of the group modulo torsion |
j |
608350/369 |
j-invariant |
L |
5.1620438269549 |
L(r)(E,1)/r! |
Ω |
0.96498684911919 |
Real period |
R |
0.2228892131051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600bj1 49200bb1 |
Quadratic twists by: -4 5 |