Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550b |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1961931780281250 = -1 · 2 · 32 · 56 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-41100,-3867750] |
[a1,a2,a3,a4,a6] |
Generators |
[329:4120:1] |
Generators of the group modulo torsion |
j |
-491411892194497/125563633938 |
j-invariant |
L |
2.0222602930339 |
L(r)(E,1)/r! |
Ω |
0.16543302156772 |
Real period |
R |
6.112021269605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400cx6 81600cn5 7650bz6 102b6 |
Quadratic twists by: -4 8 -3 5 |