Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
2928l |
Isogeny class |
Conductor |
2928 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
-50988949438464 = -1 · 219 · 313 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -2 4 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113536,14690996] |
[a1,a2,a3,a4,a6] |
Generators |
[170:576:1] |
Generators of the group modulo torsion |
j |
-39515579724486529/12448473984 |
j-invariant |
L |
3.5759188476184 |
L(r)(E,1)/r! |
Ω |
0.61968928368236 |
Real period |
R |
0.11097121082661 |
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 |
366d1 11712z1 8784o1 73200bh1 |
Quadratic twists by: -4 8 -3 5 |