Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950cp |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-385793165482200 = -1 · 23 · 39 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17124,387538] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1926:1] |
Generators of the group modulo torsion |
j |
188819819375/131167512 |
j-invariant |
L |
5.989305827593 |
L(r)(E,1)/r! |
Ω |
0.33797180202895 |
Real period |
R |
0.98451766493734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950gv1 17850c1 |
Quadratic twists by: 5 -7 |