Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610l |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3372764062500 = 22 · 38 · 58 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-568629,-164898815] |
[a1,a2,a3,a4,a6] |
Generators |
[-435:220:1] |
Generators of the group modulo torsion |
j |
27892255066997298769/4626562500 |
j-invariant |
L |
4.0767361571714 |
L(r)(E,1)/r! |
Ω |
0.17385703627742 |
Real period |
R |
2.9310980479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870n4 |
Quadratic twists by: -3 |