Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700v |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
826516113281250000 = 24 · 3 · 516 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2795133,-1799071512] |
[a1,a2,a3,a4,a6] |
Generators |
[31405134133148279278808:1760720497547833811015625:7926021214648362496] |
Generators of the group modulo torsion |
j |
9660315083077451776/3306064453125 |
j-invariant |
L |
7.4450260307666 |
L(r)(E,1)/r! |
Ω |
0.11676369827552 |
Real period |
R |
31.880739283495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999808858 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740k1 |
Quadratic twists by: 5 |