Atkin-Lehner |
2- 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050bz |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-2532320000000 = -1 · 211 · 57 · 72 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3312,23281] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-363:1] |
Generators of the group modulo torsion |
j |
257138126279/162068480 |
j-invariant |
L |
8.6346778920451 |
L(r)(E,1)/r! |
Ω |
0.50457780016927 |
Real period |
R |
0.19446226073841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610h1 |
Quadratic twists by: 5 |