Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992er |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
2 |
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 |
[835482099234062447055:-54133461872895183701233:170072901025641125] |
Generators of the group modulo torsion |
j |
-69578264895333695488/651 |
j-invariant |
L |
4.0027812222837 |
L(r)(E,1)/r! |
Ω |
0.056959317517009 |
Real period |
R |
35.137194376393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992dk3 31248bk3 41664dh3 |
Quadratic twists by: -4 8 -3 |