Atkin-Lehner |
2- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264w |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-155724707369107456 = -1 · 214 · 19 · 298 |
Discriminant |
Eigenvalues |
2- 2 1 3 -3 -4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533205,-150881587] |
[a1,a2,a3,a4,a6] |
j |
-1023262896933044224/9504681846259 |
j-invariant |
L |
4.4144369012195 |
L(r)(E,1)/r! |
Ω |
0.088288738024858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35264m1 8816l1 |
Quadratic twists by: -4 8 |