Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25270k |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-840227500000000 = -1 · 28 · 510 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17282,-1084944] |
[a1,a2,a3,a4,a6] |
Generators |
[85:957:1] |
Generators of the group modulo torsion |
j |
83230218613781/122500000000 |
j-invariant |
L |
2.424053495296 |
L(r)(E,1)/r! |
Ω |
0.26552593682443 |
Real period |
R |
0.4564626575254 |
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 |
126350ce2 25270y2 |
Quadratic twists by: 5 -19 |