Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350bq |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1140072978564000 = 25 · 310 · 53 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-139936,20071118] |
[a1,a2,a3,a4,a6] |
Generators |
[118:2222:1] |
Generators of the group modulo torsion |
j |
502270291349/1889568 |
j-invariant |
L |
5.1788754411455 |
L(r)(E,1)/r! |
Ω |
0.49070422608946 |
Real period |
R |
0.52769827176925 |
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 |
76050fw4 25350ch4 150a4 |
Quadratic twists by: -3 5 13 |