Atkin-Lehner |
2- 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830cj |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1180344545280 = -1 · 212 · 37 · 5 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3443,94547] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:418:1] [27:-158:1] |
Generators of the group modulo torsion |
j |
-6189976379881/1619128320 |
j-invariant |
L |
15.191293270403 |
L(r)(E,1)/r! |
Ω |
0.82368535349793 |
Real period |
R |
0.76846158572389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610w1 |
Quadratic twists by: -3 |