Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525r |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.1069053200777E+25 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-76971188,-137100184594] |
[a1,a2,a3,a4,a6] |
Generators |
[-37330:2795611:8] |
Generators of the group modulo torsion |
j |
1821931919215868881/761147600816295 |
j-invariant |
L |
2.7474854057439 |
L(r)(E,1)/r! |
Ω |
0.052896404396417 |
Real period |
R |
6.4926090839391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705m3 5775c4 |
Quadratic twists by: 5 -11 |