Atkin-Lehner |
3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4305a |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32000 |
Modular degree for the optimal curve |
Δ |
-42247180925026875 = -1 · 35 · 54 · 74 · 415 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -3 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-385481,-92520619] |
[a1,a2,a3,a4,a6] |
j |
-6334812566762194468864/42247180925026875 |
j-invariant |
L |
0.76610034335422 |
L(r)(E,1)/r! |
Ω |
0.095762542919277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68880cc1 12915r1 21525u1 30135be1 |
Quadratic twists by: -4 -3 5 -7 |