Atkin-Lehner |
5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71995g |
Isogeny class |
Conductor |
71995 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-166954486261255 = -1 · 5 · 72 · 119 · 172 |
Discriminant |
Eigenvalues |
1 2 5+ 7+ 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11977,-358288] |
[a1,a2,a3,a4,a6] |
Generators |
[1087226:21881075:2744] |
Generators of the group modulo torsion |
j |
107239576751/94241455 |
j-invariant |
L |
9.0862476392996 |
L(r)(E,1)/r! |
Ω |
0.31535156341175 |
Real period |
R |
7.2032682668959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6545c1 |
Quadratic twists by: -11 |