Atkin-Lehner |
2+ 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550k |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-4913557134200 = -1 · 23 · 52 · 113 · 13 · 175 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 11+ 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40027,-3074179] |
[a1,a2,a3,a4,a6] |
Generators |
[86237097:650394097:328509] |
Generators of the group modulo torsion |
j |
-283693202705857905/196542285368 |
j-invariant |
L |
10.240169684801 |
L(r)(E,1)/r! |
Ω |
0.16875736876094 |
Real period |
R |
12.135967418028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550bz1 |
Quadratic twists by: 5 |