Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29280bb |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-11675699265024000 = -1 · 212 · 33 · 53 · 615 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 0 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51875,2536523] |
[a1,a2,a3,a4,a6] |
j |
3769031102810624/2850512515875 |
j-invariant |
L |
4.6340380576319 |
L(r)(E,1)/r! |
Ω |
0.25744655875737 |
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 |
29280i1 58560m1 87840l1 |
Quadratic twists by: -4 8 -3 |