Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304h |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14476378112 = 218 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7916,271024] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:672:1] [-60:728:1] |
Generators of the group modulo torsion |
j |
209267191953/55223 |
j-invariant |
L |
5.3912143467434 |
L(r)(E,1)/r! |
Ω |
1.2202320070382 |
Real period |
R |
1.1045469868942 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10304w3 161a3 92736cm4 72128b4 |
Quadratic twists by: -4 8 -3 -7 |