Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49980b |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
578349542610000 = 24 · 35 · 54 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20841,-41670] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:833:1] |
Generators of the group modulo torsion |
j |
531853459456/307243125 |
j-invariant |
L |
4.96539163492 |
L(r)(E,1)/r! |
Ω |
0.43409136781351 |
Real period |
R |
0.95321553692188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140m1 |
Quadratic twists by: -7 |