Atkin-Lehner |
3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
7029d |
Isogeny class |
Conductor |
7029 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
50221705941 = 312 · 113 · 71 |
Discriminant |
Eigenvalues |
0 3- 3 -1 11+ 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-966,4158] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:121:1] |
Generators of the group modulo torsion |
j |
136750071808/68891229 |
j-invariant |
L |
4.0592566742498 |
L(r)(E,1)/r! |
Ω |
0.99660898479773 |
Real period |
R |
1.0182671278731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464bh1 2343g1 77319t1 |
Quadratic twists by: -4 -3 -11 |