Atkin-Lehner |
2+ 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560f |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
842123520 = 28 · 33 · 5 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5020,138580] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:472:1] [122:1152:1] |
Generators of the group modulo torsion |
j |
54661482751696/3289545 |
j-invariant |
L |
8.6953421667646 |
L(r)(E,1)/r! |
Ω |
1.5007994047737 |
Real period |
R |
5.7938070465027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120bd2 |
Quadratic twists by: -4 |