Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25350cp |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-202704145312500 = -1 · 22 · 310 · 58 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -5 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9513,-776469] |
[a1,a2,a3,a4,a6] |
Generators |
[135:582:1] [535:11882:1] |
Generators of the group modulo torsion |
j |
-110940205/236196 |
j-invariant |
L |
9.0802662077467 |
L(r)(E,1)/r! |
Ω |
0.22657403093492 |
Real period |
R |
1.6698490279826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050dd2 25350bm1 25350w2 |
Quadratic twists by: -3 5 13 |