Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64032q |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-19817135616 = -1 · 29 · 3 · 232 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 0 -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-920,12396] |
[a1,a2,a3,a4,a6] |
j |
-168379496648/38705343 |
j-invariant |
L |
2.3246575380178 |
L(r)(E,1)/r! |
Ω |
1.1623287726929 |
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 |
64032f1 128064cb1 |
Quadratic twists by: -4 8 |