Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200cc |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-32275200 = -1 · 28 · 3 · 52 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -4 5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,697] |
[a1,a2,a3,a4,a6] |
Generators |
[21:82:1] |
Generators of the group modulo torsion |
j |
-40960000/5043 |
j-invariant |
L |
4.3777366479945 |
L(r)(E,1)/r! |
Ω |
2.0181158411293 |
Real period |
R |
0.54230492605861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12300l1 49200eb1 |
Quadratic twists by: -4 5 |