Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21658i |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99008 |
Modular degree for the optimal curve |
Δ |
-73057461428224 = -1 · 213 · 79 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 2 -1 7- 6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8697,271349] |
[a1,a2,a3,a4,a6] |
Generators |
[98652:1642007:1728] |
Generators of the group modulo torsion |
j |
1802485313/1810432 |
j-invariant |
L |
5.6726291135425 |
L(r)(E,1)/r! |
Ω |
0.40480739700104 |
Real period |
R |
7.0065778881109 |
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 |
21658j1 |
Quadratic twists by: -7 |