Atkin-Lehner |
2- 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39050m |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
4295500000 = 25 · 56 · 112 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11+ 5 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-413,531] |
[a1,a2,a3,a4,a6] |
Generators |
[45:252:1] [-90:541:8] |
Generators of the group modulo torsion |
j |
498677257/274912 |
j-invariant |
L |
10.334287213903 |
L(r)(E,1)/r! |
Ω |
1.2011729606231 |
Real period |
R |
0.43017481880972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1562a1 |
Quadratic twists by: 5 |