Atkin-Lehner |
2- 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090cb |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-1021915854274560 = -1 · 218 · 3 · 5 · 76 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-393030,94818660] |
[a1,a2,a3,a4,a6] |
j |
-57070627168555729/8686141440 |
j-invariant |
L |
8.5749426617239 |
L(r)(E,1)/r! |
Ω |
0.47638570358797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1410g1 |
Quadratic twists by: -7 |