Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bb |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
26052797511125000 = 23 · 56 · 76 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-107450,11067500] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:4600:1] |
Generators of the group modulo torsion |
j |
4956477625/941192 |
j-invariant |
L |
6.401532341841 |
L(r)(E,1)/r! |
Ω |
0.35745840459607 |
Real period |
R |
2.9847446395292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1694f4 350d4 |
Quadratic twists by: 5 -11 |