Atkin-Lehner |
2+ 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20874b |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
943029206784 = 28 · 32 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -4 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82884,9149904] |
[a1,a2,a3,a4,a6] |
Generators |
[216:-1284:1] |
Generators of the group modulo torsion |
j |
10923446483593/163584 |
j-invariant |
L |
1.5332876938086 |
L(r)(E,1)/r! |
Ω |
0.80682682889419 |
Real period |
R |
0.15836604573397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622bv1 20874p1 |
Quadratic twists by: -3 -7 |