Atkin-Lehner |
2- 3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10374h |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-2904056064 = -1 · 28 · 38 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -5 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,351,-417] |
[a1,a2,a3,a4,a6] |
Generators |
[13:74:1] |
Generators of the group modulo torsion |
j |
4781539277423/2904056064 |
j-invariant |
L |
6.4792210150758 |
L(r)(E,1)/r! |
Ω |
0.82913222404212 |
Real period |
R |
0.488403781327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82992cw1 31122j1 72618cf1 |
Quadratic twists by: -4 -3 -7 |