Atkin-Lehner |
2+ 3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490r |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2192071229293795920 = -1 · 24 · 32 · 5 · 714 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-471749,143584256] |
[a1,a2,a3,a4,a6] |
Generators |
[375:4222:1] |
Generators of the group modulo torsion |
j |
-98688628466197561/18632298016080 |
j-invariant |
L |
6.2324569658183 |
L(r)(E,1)/r! |
Ω |
0.24971142438859 |
Real period |
R |
3.1198297130927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070a2 |
Quadratic twists by: -7 |