Atkin-Lehner |
2+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24800h |
Isogeny class |
Conductor |
24800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-248000000000 = -1 · 212 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 6 -6 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,23963] |
[a1,a2,a3,a4,a6] |
j |
-512/31 |
j-invariant |
L |
3.2621667567435 |
L(r)(E,1)/r! |
Ω |
0.81554168918587 |
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 |
24800k1 49600cp1 24800p1 |
Quadratic twists by: -4 8 5 |