Atkin-Lehner |
2- 3+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498bf |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
76209905868110784 = 26 · 32 · 712 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29367699,61244377041] |
[a1,a2,a3,a4,a6] |
Generators |
[-1073:303062:1] |
Generators of the group modulo torsion |
j |
2801131348414272709681235377/76209905868110784 |
j-invariant |
L |
6.0786662521187 |
L(r)(E,1)/r! |
Ω |
0.25110226769788 |
Real period |
R |
1.3448850293919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109494t4 |
Quadratic twists by: -3 |