Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400by |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
2794881024000000000 = 224 · 38 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14236833,-20671178463] |
[a1,a2,a3,a4,a6] |
Generators |
[10143341:240573952:2197] |
Generators of the group modulo torsion |
j |
623295446073461/5458752 |
j-invariant |
L |
3.3683912096964 |
L(r)(E,1)/r! |
Ω |
0.077722441142407 |
Real period |
R |
10.834680307048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ih1 1950l1 62400dn1 |
Quadratic twists by: -4 8 5 |