Atkin-Lehner |
2- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107300i |
Isogeny class |
Conductor |
107300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3677184 |
Modular degree for the optimal curve |
Δ |
106497932500000000 = 28 · 510 · 292 · 373 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 -5 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-944200,352788500] |
[a1,a2,a3,a4,a6] |
Generators |
[7526616:4527973:13824] |
Generators of the group modulo torsion |
j |
23273178961895424/26624483125 |
j-invariant |
L |
13.449872025723 |
L(r)(E,1)/r! |
Ω |
0.33348301324043 |
Real period |
R |
10.082876377545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21460d1 |
Quadratic twists by: 5 |