Atkin-Lehner |
3+ 5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116025h |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
238464 |
Modular degree for the optimal curve |
Δ |
-625012171875 = -1 · 32 · 56 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ -6 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-358,-38007] |
[a1,a2,a3,a4,a6] |
Generators |
[314:659:8] |
Generators of the group modulo torsion |
j |
-325660672/40000779 |
j-invariant |
L |
9.0292859338628 |
L(r)(E,1)/r! |
Ω |
0.40517893217967 |
Real period |
R |
1.8570572842265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4641f1 |
Quadratic twists by: 5 |