Atkin-Lehner |
2+ 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350b |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-14212800 = -1 · 26 · 33 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30,180] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:18:1] [-1:15:1] |
Generators of the group modulo torsion |
j |
-125768785/568512 |
j-invariant |
L |
5.7682500980521 |
L(r)(E,1)/r! |
Ω |
1.9356755810821 |
Real period |
R |
1.4899836921089 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350cm1 |
Quadratic twists by: 5 |