Atkin-Lehner |
3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3525a |
Isogeny class |
Conductor |
3525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-892265625 = -1 · 35 · 57 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 -2 7 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-900,10125] |
[a1,a2,a3,a4,a6] |
Generators |
[20:15:1] |
Generators of the group modulo torsion |
j |
-5168743489/57105 |
j-invariant |
L |
3.4895671007408 |
L(r)(E,1)/r! |
Ω |
1.5831793357828 |
Real period |
R |
1.1020757477912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400cw1 10575l1 705e1 |
Quadratic twists by: -4 -3 5 |