Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525p |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.462869622461E+26 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65907250,-782664924125] |
[a1,a2,a3,a4,a6] |
Generators |
[231980237896264004187260388982462131065677689720:-8897081890491746665061617489835846317377442172935:19087707737171700309536480363384765706300928] |
Generators of the group modulo torsion |
j |
-1143792273008057401/8897444448004035 |
j-invariant |
L |
6.9828449596652 |
L(r)(E,1)/r! |
Ω |
0.023377493271021 |
Real period |
R |
74.674868676015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705o4 5775d4 |
Quadratic twists by: 5 -11 |