Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736i |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3493704704 = -1 · 210 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 3 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,376,-608] |
[a1,a2,a3,a4,a6] |
j |
48668/29 |
j-invariant |
L |
3.2865259160768 |
L(r)(E,1)/r! |
Ω |
0.8216314790192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11368c1 90944du1 464a1 |
Quadratic twists by: -4 8 -7 |