Atkin-Lehner |
2+ 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850v |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
18982080 |
Modular degree for the optimal curve |
Δ |
1.7029321942633E+23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -6 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14844576,9507746798] |
[a1,a2,a3,a4,a6] |
Generators |
[-2948:167761:1] |
Generators of the group modulo torsion |
j |
385722406723019065/181570446368768 |
j-invariant |
L |
1.7225998533451 |
L(r)(E,1)/r! |
Ω |
0.090875488131473 |
Real period |
R |
3.1592678896981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999987441001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
129850bm1 129850bi1 |
Quadratic twists by: 5 -7 |