Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gk |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-372003791437824 = -1 · 219 · 3 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12031,-780639] |
[a1,a2,a3,a4,a6] |
j |
14991903983/28960854 |
j-invariant |
L |
3.361062269453 |
L(r)(E,1)/r! |
Ω |
0.28008862607417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304el2 30576cs2 122304go2 |
Quadratic twists by: -4 8 -7 |