Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304cb |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
26386385485824 = 214 · 34 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8689,-187151] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:245:1] |
Generators of the group modulo torsion |
j |
37642192/13689 |
j-invariant |
L |
5.3974513381259 |
L(r)(E,1)/r! |
Ω |
0.50950986633062 |
Real period |
R |
2.648354729335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997805775 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304il2 15288j2 2496i2 |
Quadratic twists by: -4 8 -7 |