Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7605a |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-211776244875 = -1 · 33 · 53 · 137 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7098,231234] |
[a1,a2,a3,a4,a6] |
Generators |
[26:253:1] |
Generators of the group modulo torsion |
j |
-303464448/1625 |
j-invariant |
L |
3.3535677494211 |
L(r)(E,1)/r! |
Ω |
1.0047738846512 |
Real period |
R |
0.83440856710391 |
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 |
121680ch1 7605e2 38025c1 585d1 |
Quadratic twists by: -4 -3 5 13 |