Atkin-Lehner |
3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4851i |
Isogeny class |
Conductor |
4851 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-123567281532387 = -1 · 311 · 78 · 112 |
Discriminant |
Eigenvalues |
2 3- 0 7+ 11- -5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5145,-515615] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:43655:8] |
Generators of the group modulo torsion |
j |
3584000/29403 |
j-invariant |
L |
7.038197406026 |
L(r)(E,1)/r! |
Ω |
0.29154903003968 |
Real period |
R |
1.0058624623487 |
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 |
77616ej1 1617c1 121275cw1 4851t1 |
Quadratic twists by: -4 -3 5 -7 |