Atkin-Lehner |
3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35175z |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
311628515625 = 35 · 58 · 72 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-415463,103038792] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3814:1] |
Generators of the group modulo torsion |
j |
507575685387993769/19944225 |
j-invariant |
L |
4.5860120354751 |
L(r)(E,1)/r! |
Ω |
0.7170887351297 |
Real period |
R |
0.63953201477164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105525w1 7035a1 |
Quadratic twists by: -3 5 |