Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
35280bw |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-26896255545600000 = -1 · 211 · 36 · 55 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105987,15448034] |
[a1,a2,a3,a4,a6] |
Generators |
[343:4410:1] |
Generators of the group modulo torsion |
j |
-15298178/3125 |
j-invariant |
L |
6.3035302731684 |
L(r)(E,1)/r! |
Ω |
0.35953777226812 |
Real period |
R |
0.29220528686977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17640y1 3920c1 35280bf1 |
Quadratic twists by: -4 -3 -7 |