Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
94815i |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
609893607196125 = 39 · 53 · 78 · 43 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 0 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-22638,-554031] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:661:1] |
Generators of the group modulo torsion |
j |
305299456/145125 |
j-invariant |
L |
3.2646548225571 |
L(r)(E,1)/r! |
Ω |
0.4078414467046 |
Real period |
R |
1.3341192734172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31605x1 94815bo1 |
Quadratic twists by: -3 -7 |