Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2550v |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-15641144712000000 = -1 · 29 · 34 · 56 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,45237,-4723719] |
[a1,a2,a3,a4,a6] |
Generators |
[739:-21178:1] |
Generators of the group modulo torsion |
j |
655215969476375/1001033261568 |
j-invariant |
L |
3.8538315556177 |
L(r)(E,1)/r! |
Ω |
0.20766102316027 |
Real period |
R |
0.34367186457942 |
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 |
20400dk4 81600dw4 7650p4 102c4 |
Quadratic twists by: -4 8 -3 5 |