Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992dk |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-30373056 = -1 · 26 · 37 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3084744,2085339674] |
[a1,a2,a3,a4,a6] |
Generators |
[8114:-99:8] [1903:55737:1] |
Generators of the group modulo torsion |
j |
-69578264895333695488/651 |
j-invariant |
L |
10.123721018633 |
L(r)(E,1)/r! |
Ω |
0.71091388982554 |
Real period |
R |
3.560108039826 |
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 |
124992er3 1953g3 41664bb3 |
Quadratic twists by: -4 8 -3 |