Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
120900h |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-120585984012000000 = -1 · 28 · 34 · 56 · 13 · 315 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -5 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,122667,2343537] |
[a1,a2,a3,a4,a6] |
Generators |
[507:13950:1] |
Generators of the group modulo torsion |
j |
51032096768000/30146496003 |
j-invariant |
L |
2.58321574458 |
L(r)(E,1)/r! |
Ω |
0.20159962398234 |
Real period |
R |
0.21355990199148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999544317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4836e1 |
Quadratic twists by: 5 |