Atkin-Lehner |
2- 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
129780m |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.8617869694531E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2265303,-11722272802] |
[a1,a2,a3,a4,a6] |
Generators |
[71587774355582:1253415199565599:26304066424] |
Generators of the group modulo torsion |
j |
-6888665850900724816/314096095328203125 |
j-invariant |
L |
7.7639254163583 |
L(r)(E,1)/r! |
Ω |
0.048701798957706 |
Real period |
R |
19.927203768489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43260b2 |
Quadratic twists by: -3 |