Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fq |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-144776538624098304 = -1 · 223 · 37 · 72 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-311649,69526017] |
[a1,a2,a3,a4,a6] |
Generators |
[19705:616064:125] |
Generators of the group modulo torsion |
j |
-260607143968297/11270993184 |
j-invariant |
L |
8.1814952070688 |
L(r)(E,1)/r! |
Ω |
0.32334074984306 |
Real period |
R |
6.3257532451867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488ei1 25872db1 103488gz1 |
Quadratic twists by: -4 8 -7 |