Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328bs |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
260389748736 = 214 · 37 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125457,17145585] |
[a1,a2,a3,a4,a6] |
Generators |
[4935:14480:27] |
Generators of the group modulo torsion |
j |
13328826941157712/15892929 |
j-invariant |
L |
8.256844304674 |
L(r)(E,1)/r! |
Ω |
0.82956588608318 |
Real period |
R |
4.9766054966218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bc1 26832h1 |
Quadratic twists by: -4 8 |