Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57400r |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8072162000000000 = -1 · 210 · 59 · 74 · 412 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49925,-500250] |
[a1,a2,a3,a4,a6] |
Generators |
[51:1476:1] |
Generators of the group modulo torsion |
j |
860117829084/504510125 |
j-invariant |
L |
5.0970011488053 |
L(r)(E,1)/r! |
Ω |
0.24404548963135 |
Real period |
R |
2.6106819042819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114800a2 11480a2 |
Quadratic twists by: -4 5 |