Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200dr |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-4674897920000 = -1 · 214 · 54 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2767,86737] |
[a1,a2,a3,a4,a6] |
Generators |
[53:616:1] [-13:220:1] |
Generators of the group modulo torsion |
j |
228714800/456533 |
j-invariant |
L |
10.072912901684 |
L(r)(E,1)/r! |
Ω |
0.53340442936713 |
Real period |
R |
0.17485365119964 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200gs2 7700j2 123200q2 |
Quadratic twists by: -4 8 5 |