Atkin-Lehner |
2+ 3+ 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
56826c |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8087632685149248 = 26 · 39 · 76 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55392,2555072] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:2640:1] |
Generators of the group modulo torsion |
j |
954944140921875/410894309056 |
j-invariant |
L |
4.9389981439061 |
L(r)(E,1)/r! |
Ω |
0.3742111102056 |
Real period |
R |
2.1997378882018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56826r1 |
Quadratic twists by: -3 |