Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968bo |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-205809175951454208 = -1 · 212 · 3 · 74 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,106755,17173941] |
[a1,a2,a3,a4,a6] |
Generators |
[2651:137564:1] |
Generators of the group modulo torsion |
j |
13681452614144/20927272323 |
j-invariant |
L |
3.1553894557338 |
L(r)(E,1)/r! |
Ω |
0.2154297085165 |
Real period |
R |
0.30514491587617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968v1 79968cr1 |
Quadratic twists by: -4 -7 |