Atkin-Lehner |
2+ 3+ 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050c |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-2667937500 = -1 · 22 · 34 · 56 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,125,-2375] |
[a1,a2,a3,a4,a6] |
Generators |
[19:76:1] |
Generators of the group modulo torsion |
j |
13651919/170748 |
j-invariant |
L |
3.2216990457477 |
L(r)(E,1)/r! |
Ω |
0.70639213296059 |
Real period |
R |
2.280389955592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3162b1 |
Quadratic twists by: 5 |