Atkin-Lehner |
2- 3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
118776p |
Isogeny class |
Conductor |
118776 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-707265856988208 = -1 · 24 · 312 · 77 · 101 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-359,1279410] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1665:1] |
Generators of the group modulo torsion |
j |
-2725888/375728787 |
j-invariant |
L |
7.732670227838 |
L(r)(E,1)/r! |
Ω |
0.40498523504891 |
Real period |
R |
3.1822847988235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109113 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16968b1 |
Quadratic twists by: -7 |