Atkin-Lehner |
2+ 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770b |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
6241721794560 = 214 · 39 · 5 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9735,352061] |
[a1,a2,a3,a4,a6] |
Generators |
[71:87:1] |
Generators of the group modulo torsion |
j |
5184004633443/317112320 |
j-invariant |
L |
4.7883213992532 |
L(r)(E,1)/r! |
Ω |
0.74134462266676 |
Real period |
R |
3.2294841379062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49770bg1 |
Quadratic twists by: -3 |