Atkin-Lehner |
2- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
2924b |
Isogeny class |
Conductor |
2924 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
312 |
Modular degree for the optimal curve |
Δ |
-11696 = -1 · 24 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -1 -3 0 -6 -7 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,34] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] [2:2:1] |
Generators of the group modulo torsion |
j |
-35995648/731 |
j-invariant |
L |
3.0305789409172 |
L(r)(E,1)/r! |
Ω |
4.0242072955491 |
Real period |
R |
0.25102906140614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11696n1 46784l1 26316e1 73100a1 |
Quadratic twists by: -4 8 -3 5 |