Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550bt |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-30671365132800 = -1 · 29 · 36 · 52 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 -2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,468,-266544] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1611:1] |
Generators of the group modulo torsion |
j |
621257495/1682928128 |
j-invariant |
L |
4.8380150110445 |
L(r)(E,1)/r! |
Ω |
0.30626389557464 |
Real period |
R |
1.9746104306731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999894838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950n1 116550fn1 |
Quadratic twists by: -3 5 |