Atkin-Lehner |
2+ 3+ 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470r |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
953856 |
Modular degree for the optimal curve |
Δ |
1346484006427299840 = 212 · 39 · 5 · 196 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-291897,-23948379] |
[a1,a2,a3,a4,a6] |
j |
2750520786480182044441/1346484006427299840 |
j-invariant |
L |
2.590186232124 |
L(r)(E,1)/r! |
Ω |
0.21584885267718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410v1 |
Quadratic twists by: -3 |