Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650dj |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3537600 |
Modular degree for the optimal curve |
Δ |
-174166590812500000 = -1 · 25 · 59 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29472638,61582785892] |
[a1,a2,a3,a4,a6] |
Generators |
[3102:1574:1] |
Generators of the group modulo torsion |
j |
-6762530274797/416 |
j-invariant |
L |
6.3648676574043 |
L(r)(E,1)/r! |
Ω |
0.24246528868395 |
Real period |
R |
2.625063443464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650bc1 78650bd1 |
Quadratic twists by: 5 -11 |