Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71736d |
Isogeny class |
Conductor |
71736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-1034071145747442432 = -1 · 28 · 32 · 711 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20841,48945933] |
[a1,a2,a3,a4,a6] |
j |
-33240841216/34333827003 |
j-invariant |
L |
3.5754829158949 |
L(r)(E,1)/r! |
Ω |
0.2234676816222 |
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 |
10248c1 |
Quadratic twists by: -7 |