Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970n |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
-382212258398208000 = -1 · 221 · 36 · 53 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,175950,-8862764] |
[a1,a2,a3,a4,a6] |
Generators |
[71141205:3845028326:24389] |
Generators of the group modulo torsion |
j |
7023836099951/4456448000 |
j-invariant |
L |
4.4339131347632 |
L(r)(E,1)/r! |
Ω |
0.17272582163768 |
Real period |
R |
12.835119536597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330y1 1530g1 |
Quadratic twists by: -3 -7 |