Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760l |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
262509984000 = 28 · 37 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34743,2492458] |
[a1,a2,a3,a4,a6] |
Generators |
[251:3096:1] |
Generators of the group modulo torsion |
j |
24851818175056/1406625 |
j-invariant |
L |
6.5310126591288 |
L(r)(E,1)/r! |
Ω |
0.92872676816258 |
Real period |
R |
3.5161109146279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920bi1 |
Quadratic twists by: -3 |