Atkin-Lehner |
2+ 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550h |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-63206000000000 = -1 · 210 · 59 · 11 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8708,-222384] |
[a1,a2,a3,a4,a6] |
Generators |
[649:16363:1] |
Generators of the group modulo torsion |
j |
4673377822959/4045184000 |
j-invariant |
L |
3.3801731589152 |
L(r)(E,1)/r! |
Ω |
0.34242815233763 |
Real period |
R |
4.9355947232855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24310w1 |
Quadratic twists by: 5 |