Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400dg |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
3709440 |
Modular degree for the optimal curve |
Δ |
-2.4422043038515E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14384833,-22309597537] |
[a1,a2,a3,a4,a6] |
Generators |
[29083:4915200:1] |
Generators of the group modulo torsion |
j |
-3214683778008145/238496514048 |
j-invariant |
L |
6.9391157610295 |
L(r)(E,1)/r! |
Ω |
0.03859624098402 |
Real period |
R |
2.1403255564497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400fi1 1950s1 62400x1 |
Quadratic twists by: -4 8 5 |