Atkin-Lehner |
3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
7029i |
Isogeny class |
Conductor |
7029 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
46117269 = 310 · 11 · 71 |
Discriminant |
Eigenvalues |
-2 3- -3 1 11- -1 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-939,11070] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:139:1] [-4:121:1] |
Generators of the group modulo torsion |
j |
125600960512/63261 |
j-invariant |
L |
2.6889358307196 |
L(r)(E,1)/r! |
Ω |
1.9905068117046 |
Real period |
R |
0.33771999860892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464y1 2343f1 77319y1 |
Quadratic twists by: -4 -3 -11 |