Atkin-Lehner |
2- 3+ 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350bm |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-8733075000000 = -1 · 26 · 3 · 58 · 133 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6013,-231469] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1132:1] |
Generators of the group modulo torsion |
j |
-61551948145/22356672 |
j-invariant |
L |
9.6896029454064 |
L(r)(E,1)/r! |
Ω |
0.26623779782049 |
Real period |
R |
2.0219190526656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999775563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103350v1 |
Quadratic twists by: 5 |