Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24304g |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.7970019972631E+21 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17082331,-27098309574] |
[a1,a2,a3,a4,a6] |
Generators |
[-30240630:-27688332:12167] |
Generators of the group modulo torsion |
j |
4575904097608151172/14916274366567 |
j-invariant |
L |
3.9441844651439 |
L(r)(E,1)/r! |
Ω |
0.074275894144087 |
Real period |
R |
4.4251508857555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12152d2 97216ca2 3472b2 |
Quadratic twists by: -4 8 -7 |