Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700l |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-954685620000000 = -1 · 28 · 32 · 57 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56908,-5413688] |
[a1,a2,a3,a4,a6] |
Generators |
[361:4578:1] |
Generators of the group modulo torsion |
j |
-5095552972624/238671405 |
j-invariant |
L |
5.1849286938706 |
L(r)(E,1)/r! |
Ω |
0.15413090494334 |
Real period |
R |
4.204971654125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740p2 |
Quadratic twists by: 5 |