Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870c |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
867305175165000 = 23 · 33 · 54 · 113 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-166935,26255925] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:7359:1] |
Generators of the group modulo torsion |
j |
19054765821218746347/32122413895000 |
j-invariant |
L |
3.6163261191137 |
L(r)(E,1)/r! |
Ω |
0.49970951113183 |
Real period |
R |
3.6184283454229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
102960cb2 12870bj4 64350da2 |
Quadratic twists by: -4 -3 5 |