Atkin-Lehner |
5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7105b |
Isogeny class |
Conductor |
7105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-17314991575 = -1 · 52 · 77 · 292 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- 0 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295,6600] |
[a1,a2,a3,a4,a6] |
Generators |
[5:70:1] |
Generators of the group modulo torsion |
j |
-24137569/147175 |
j-invariant |
L |
1.8405662434609 |
L(r)(E,1)/r! |
Ω |
1.0624786838619 |
Real period |
R |
0.86616619769293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113680bm1 63945r1 35525e1 1015a1 |
Quadratic twists by: -4 -3 5 -7 |