Atkin-Lehner |
2+ 5+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550n |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-379843750000 = -1 · 24 · 510 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,433,29341] |
[a1,a2,a3,a4,a6] |
Generators |
[10:181:1] |
Generators of the group modulo torsion |
j |
573856191/24310000 |
j-invariant |
L |
4.6713785794378 |
L(r)(E,1)/r! |
Ω |
0.7211363289308 |
Real period |
R |
3.2389011474263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24310u1 |
Quadratic twists by: 5 |