Atkin-Lehner |
2+ 3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770ba |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1.2302764892578E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9336024,10983345768] |
[a1,a2,a3,a4,a6] |
Generators |
[6017315102:36058140199:3112136] |
Generators of the group modulo torsion |
j |
-123447440070716936162689/16876220703125000 |
j-invariant |
L |
5.4578694622153 |
L(r)(E,1)/r! |
Ω |
0.21726235387457 |
Real period |
R |
12.560550332079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5530j3 |
Quadratic twists by: -3 |