Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520g |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
466831232000 = 210 · 53 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4050683,-3137910118] |
[a1,a2,a3,a4,a6] |
Generators |
[-1307833875392384620:-387370896042297:1125513084808000] |
Generators of the group modulo torsion |
j |
61012706050976004/3875 |
j-invariant |
L |
5.3316958287165 |
L(r)(E,1)/r! |
Ω |
0.10641858753398 |
Real period |
R |
25.050585512523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999520471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60760r4 2480e3 |
Quadratic twists by: -4 -7 |