Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465c |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-37889775 = -1 · 39 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2,-296] |
[a1,a2,a3,a4,a6] |
Generators |
[8:8:1] |
Generators of the group modulo torsion |
j |
-27/1925 |
j-invariant |
L |
2.3710812761942 |
L(r)(E,1)/r! |
Ω |
0.93702478468394 |
Real period |
R |
2.5304360300288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440cm1 3465a1 17325d1 24255k1 |
Quadratic twists by: -4 -3 5 -7 |