Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992dk |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-12872131505856 = -1 · 26 · 39 · 73 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38064,2863586] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:2387:1] [103:189:1] |
Generators of the group modulo torsion |
j |
-130725250859008/275894451 |
j-invariant |
L |
10.123721018633 |
L(r)(E,1)/r! |
Ω |
0.71091388982554 |
Real period |
R |
0.39556755998066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992er2 1953g2 41664bb2 |
Quadratic twists by: -4 8 -3 |