Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950el |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2612736 |
Modular degree for the optimal curve |
Δ |
-2114260855928524800 = -1 · 212 · 36 · 52 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,129947,67648811] |
[a1,a2,a3,a4,a6] |
j |
1683828854855/14670139392 |
j-invariant |
L |
4.5833802467095 |
L(r)(E,1)/r! |
Ω |
0.19097421120253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950dm1 124950ih1 |
Quadratic twists by: 5 -7 |