Atkin-Lehner |
2+ 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434p |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
285600 |
Modular degree for the optimal curve |
Δ |
-2190329675424 = -1 · 25 · 36 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 11- 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29970,-1990796] |
[a1,a2,a3,a4,a6] |
Generators |
[1897264223:77681330618:1092727] |
Generators of the group modulo torsion |
j |
-2305199161/1696 |
j-invariant |
L |
5.6914793187361 |
L(r)(E,1)/r! |
Ω |
0.18141702114319 |
Real period |
R |
15.686177853852 |
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 |
12826j1 954i1 |
Quadratic twists by: -3 -11 |