Atkin-Lehner |
2+ 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550c |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-292810058593750 = -1 · 2 · 514 · 172 · 83 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16600,20750] |
[a1,a2,a3,a4,a6] |
Generators |
[3786:119813:216] |
Generators of the group modulo torsion |
j |
32373307389311/18739843750 |
j-invariant |
L |
5.5732273624554 |
L(r)(E,1)/r! |
Ω |
0.32740602315115 |
Real period |
R |
8.5111863673015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14110j2 |
Quadratic twists by: 5 |