Atkin-Lehner |
2- 3- 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104304o |
Isogeny class |
Conductor |
104304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-148684100352 = -1 · 28 · 3 · 413 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -5 6 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-613,19247] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:159:1] |
Generators of the group modulo torsion |
j |
-99672064000/580797267 |
j-invariant |
L |
6.6027178883498 |
L(r)(E,1)/r! |
Ω |
0.88919113525976 |
Real period |
R |
1.8563831755858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26076a1 |
Quadratic twists by: -4 |