Atkin-Lehner |
3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
94815w |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-1493616997215 = -1 · 310 · 5 · 76 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,652,58286] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:226:1] [16:261:1] |
Generators of the group modulo torsion |
j |
357911/17415 |
j-invariant |
L |
5.9602607662167 |
L(r)(E,1)/r! |
Ω |
0.6447822202169 |
Real period |
R |
2.3109588710322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31605ba1 1935k1 |
Quadratic twists by: -3 -7 |