Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950dq |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
842400 |
Modular degree for the optimal curve |
Δ |
1518775059375000 = 23 · 35 · 58 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52701,4258048] |
[a1,a2,a3,a4,a6] |
j |
352224985/33048 |
j-invariant |
L |
2.320667741513 |
L(r)(E,1)/r! |
Ω |
0.46413340227613 |
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 |
124950fm1 2550g1 |
Quadratic twists by: 5 -7 |