Atkin-Lehner |
2- 3+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
25254k |
Isogeny class |
Conductor |
25254 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
16381006068828672 = 29 · 33 · 23 · 616 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-174230,-27262555] |
[a1,a2,a3,a4,a6] |
Generators |
[2413355:334041129:125] |
Generators of the group modulo torsion |
j |
21663390135013171875/606703928475136 |
j-invariant |
L |
8.7662280189015 |
L(r)(E,1)/r! |
Ω |
0.2340787978546 |
Real period |
R |
12.483300636718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
25254b4 |
Quadratic twists by: -3 |