Atkin-Lehner |
2- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106930p |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
7773455821312000 = 212 · 53 · 177 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-467223,122966831] |
[a1,a2,a3,a4,a6] |
Generators |
[-769:5586:1] [-157:13950:1] |
Generators of the group modulo torsion |
j |
467306641512801/322048000 |
j-invariant |
L |
15.123019957392 |
L(r)(E,1)/r! |
Ω |
0.41234040452247 |
Real period |
R |
3.0563380380677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6290h1 |
Quadratic twists by: 17 |