Atkin-Lehner |
2+ 5+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550p |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-367688750000 = -1 · 24 · 57 · 113 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11- 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1125,32125] |
[a1,a2,a3,a4,a6] |
Generators |
[70:515:1] |
Generators of the group modulo torsion |
j |
-10091699281/23532080 |
j-invariant |
L |
3.1892744760606 |
L(r)(E,1)/r! |
Ω |
0.84594132955881 |
Real period |
R |
0.1570870631481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998078461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24310be1 |
Quadratic twists by: 5 |