Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5166bh |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-490234411114844256 = -1 · 25 · 327 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -4 1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-572387,-169906557] |
[a1,a2,a3,a4,a6] |
Generators |
[24017:3708078:1] |
Generators of the group modulo torsion |
j |
-28448852731909216489/672475186714464 |
j-invariant |
L |
5.9305843311964 |
L(r)(E,1)/r! |
Ω |
0.086664301318813 |
Real period |
R |
1.7107921719058 |
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 |
41328bk1 1722d1 129150w1 36162cj1 |
Quadratic twists by: -4 -3 5 -7 |