Atkin-Lehner |
2+ 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974d |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-160526648646 = -1 · 2 · 32 · 79 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,661,18411] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-178:1] [-13:95:1] |
Generators of the group modulo torsion |
j |
270840023/1364454 |
j-invariant |
L |
5.3701039728039 |
L(r)(E,1)/r! |
Ω |
0.73567860769434 |
Real period |
R |
0.91244055431083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282j1 |
Quadratic twists by: -7 |