Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350h |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1524789864500000 = 25 · 56 · 78 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-213176,-37855002] |
[a1,a2,a3,a4,a6] |
Generators |
[-268:346:1] [-262:302:1] |
Generators of the group modulo torsion |
j |
582810602977/829472 |
j-invariant |
L |
4.8578865806017 |
L(r)(E,1)/r! |
Ω |
0.22220423961422 |
Real period |
R |
5.4655646861644 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254f2 8050i2 |
Quadratic twists by: 5 -7 |