Atkin-Lehner |
2- 3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31020b |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-787287600 = -1 · 24 · 34 · 52 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,219,450] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2538:1] |
Generators of the group modulo torsion |
j |
72268906496/49205475 |
j-invariant |
L |
4.4966587125791 |
L(r)(E,1)/r! |
Ω |
1.003834206457 |
Real period |
R |
2.2397417241089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080bw1 93060o1 |
Quadratic twists by: -4 -3 |