Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49632c |
Isogeny class |
Conductor |
49632 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
881664 |
Modular degree for the optimal curve |
Δ |
180740026707172416 = 26 · 314 · 112 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1610522,-786951120] |
[a1,a2,a3,a4,a6] |
Generators |
[2640:115620:1] |
Generators of the group modulo torsion |
j |
7218450671538135120832/2824062917299569 |
j-invariant |
L |
9.1737884106017 |
L(r)(E,1)/r! |
Ω |
0.13401952174409 |
Real period |
R |
4.8893668044006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49632g1 99264n2 |
Quadratic twists by: -4 8 |