Atkin-Lehner |
11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34969m |
Isogeny class |
Conductor |
34969 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3855600 |
Modular degree for the optimal curve |
Δ |
-1.6448471150982E+19 |
Discriminant |
Eigenvalues |
-2 -3 -2 2 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10106041,-12367267674] |
[a1,a2,a3,a4,a6] |
Generators |
[28611:4808237:1] |
Generators of the group modulo torsion |
j |
-9236754432/1331 |
j-invariant |
L |
1.1937978384422 |
L(r)(E,1)/r! |
Ω |
0.042337044830278 |
Real period |
R |
2.3497897314822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179d1 34969k1 |
Quadratic twists by: -11 17 |