Atkin-Lehner |
3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525m |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1169280 |
Modular degree for the optimal curve |
Δ |
-292857432451171875 = -1 · 37 · 510 · 72 · 234 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -6 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-215833,46627818] |
[a1,a2,a3,a4,a6] |
j |
-2323716505600/612012267 |
j-invariant |
L |
0.58498965513419 |
L(r)(E,1)/r! |
Ω |
0.29249481527134 |
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 |
84525dc1 84525bm1 |
Quadratic twists by: 5 -7 |