Atkin-Lehner |
3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829c |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7276274527137 = 3 · 76 · 11 · 374 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10021,-367856] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:178:1] |
Generators of the group modulo torsion |
j |
946098541513/61847313 |
j-invariant |
L |
5.5050831862425 |
L(r)(E,1)/r! |
Ω |
0.47912053287973 |
Real period |
R |
1.4362469380288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1221a4 |
Quadratic twists by: -7 |