Atkin-Lehner |
2+ 3- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350o |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6888960 |
Modular degree for the optimal curve |
Δ |
-1.6458743808E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 5 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1940401,-2212005052] |
[a1,a2,a3,a4,a6] |
Generators |
[60043:14678714:1] |
Generators of the group modulo torsion |
j |
-51710392435088395009/105335960371200000 |
j-invariant |
L |
7.0118607614257 |
L(r)(E,1)/r! |
Ω |
0.060055035817833 |
Real period |
R |
4.864885376621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999834605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20670u1 |
Quadratic twists by: 5 |