Atkin-Lehner |
5- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98735u |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-125198756921875 = -1 · 56 · 76 · 133 · 31 |
Discriminant |
Eigenvalues |
0 2 5- 7- 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-58865,5543068] |
[a1,a2,a3,a4,a6] |
Generators |
[124:367:1] |
Generators of the group modulo torsion |
j |
-191740693970944/1064171875 |
j-invariant |
L |
9.0734632839442 |
L(r)(E,1)/r! |
Ω |
0.59034348239389 |
Real period |
R |
1.2808169541115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2015b2 |
Quadratic twists by: -7 |