Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bs |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
854097049951858944 = 28 · 314 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-919191,-336273770] |
[a1,a2,a3,a4,a6] |
Generators |
[-3956446:-9732150:6859] |
Generators of the group modulo torsion |
j |
3911877700432/38900169 |
j-invariant |
L |
5.2594192403381 |
L(r)(E,1)/r! |
Ω |
0.15427973385488 |
Real period |
R |
8.5225374512554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000256 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38808bg2 25872w2 11088v2 |
Quadratic twists by: -4 -3 -7 |