Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1734c |
Isogeny class |
Conductor |
1734 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
45278208 = 210 · 32 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-184,832] |
[a1,a2,a3,a4,a6] |
Generators |
[1:25:1] |
Generators of the group modulo torsion |
j |
141420761/9216 |
j-invariant |
L |
2.1671407506986 |
L(r)(E,1)/r! |
Ω |
1.9847495332065 |
Real period |
R |
0.54594816989261 |
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 |
13872bj1 55488bm1 5202k1 43350da1 |
Quadratic twists by: -4 8 -3 5 |