Atkin-Lehner |
2+ 3+ 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130g |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-1211376937500000000 = -1 · 28 · 33 · 512 · 233 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-205134,63949140] |
[a1,a2,a3,a4,a6] |
Generators |
[20838:1038681:8] |
Generators of the group modulo torsion |
j |
-35356892222849390523/44865812500000000 |
j-invariant |
L |
6.0109116836712 |
L(r)(E,1)/r! |
Ω |
0.24692335402231 |
Real period |
R |
6.0858071464514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055786 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
122130bg3 |
Quadratic twists by: -3 |