Atkin-Lehner |
3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3525c |
Isogeny class |
Conductor |
3525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-275390625 = -1 · 3 · 59 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 3 -2 1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,162,156] |
[a1,a2,a3,a4,a6] |
Generators |
[0:12:1] |
Generators of the group modulo torsion |
j |
30080231/17625 |
j-invariant |
L |
2.0434971535901 |
L(r)(E,1)/r! |
Ω |
1.0537840489694 |
Real period |
R |
0.9695995852227 |
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 |
56400cz1 10575k1 705d1 |
Quadratic twists by: -4 -3 5 |