Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870ca |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
1.1869730474066E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1079267,398726691] |
[a1,a2,a3,a4,a6] |
Generators |
[-721:28674:1] |
Generators of the group modulo torsion |
j |
190713967472892532969/16282209155097600 |
j-invariant |
L |
7.5784097431453 |
L(r)(E,1)/r! |
Ω |
0.220460601363 |
Real period |
R |
0.57292245540259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960ep2 4290d2 64350u2 |
Quadratic twists by: -4 -3 5 |