Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950iq |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-5139465061253906250 = -1 · 2 · 38 · 59 · 74 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,48362,109000142] |
[a1,a2,a3,a4,a6] |
j |
2667557011/1095962562 |
j-invariant |
L |
6.0245714280122 |
L(r)(E,1)/r! |
Ω |
0.1882678715291 |
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 |
124950bm1 124950gx1 |
Quadratic twists by: 5 -7 |