Atkin-Lehner |
3+ 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
63189c |
Isogeny class |
Conductor |
63189 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-3222639 = -1 · 33 · 7 · 172 · 59 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9,-88] |
[a1,a2,a3,a4,a6] |
Generators |
[3880:19484:125] |
Generators of the group modulo torsion |
j |
2803221/119357 |
j-invariant |
L |
8.1380450719978 |
L(r)(E,1)/r! |
Ω |
1.2088106131668 |
Real period |
R |
6.7322746696247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63189d1 |
Quadratic twists by: -3 |