Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410ci |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-23488622850 = -1 · 2 · 3 · 52 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41,7371] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:687:8] |
Generators of the group modulo torsion |
j |
-5735339/17647350 |
j-invariant |
L |
9.3750615386669 |
L(r)(E,1)/r! |
Ω |
0.96405968112141 |
Real period |
R |
4.8622827622879 |
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 |
76230bn2 127050p2 25410z2 |
Quadratic twists by: -3 5 -11 |