Atkin-Lehner |
2+ 3+ 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610f |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
695520 |
Modular degree for the optimal curve |
Δ |
1883338429169664000 = 223 · 35 · 53 · 19 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -2 3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-402592,72684544] |
[a1,a2,a3,a4,a6] |
Generators |
[173:2786:1] |
Generators of the group modulo torsion |
j |
7216403686157786298121/1883338429169664000 |
j-invariant |
L |
3.8708639283606 |
L(r)(E,1)/r! |
Ω |
0.24639253719524 |
Real period |
R |
5.2367169509598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830ce1 |
Quadratic twists by: -3 |