Atkin-Lehner |
2+ 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328r |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3670016 |
Modular degree for the optimal curve |
Δ |
211111789282759872 = 26 · 37 · 138 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5401204,4829671730] |
[a1,a2,a3,a4,a6] |
j |
272279886183701546713408/3298621707543123 |
j-invariant |
L |
2.0111949429334 |
L(r)(E,1)/r! |
Ω |
0.28731353262783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328c1 53664k4 |
Quadratic twists by: -4 8 |