Atkin-Lehner |
2+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126616h |
Isogeny class |
Conductor |
126616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-19906061056 = -1 · 28 · 72 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 5 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2452,46416] |
[a1,a2,a3,a4,a6] |
Generators |
[20:76:1] [31:34:1] |
Generators of the group modulo torsion |
j |
-130024792912/1586899 |
j-invariant |
L |
7.796254063608 |
L(r)(E,1)/r! |
Ω |
1.2216859134972 |
Real period |
R |
0.79769419287098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999992222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126616a1 |
Quadratic twists by: -7 |