Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400cz |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3706989312000000 = 214 · 3 · 56 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74833,-7339537] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:600:1] |
Generators of the group modulo torsion |
j |
181037698000/14480427 |
j-invariant |
L |
7.5816398423876 |
L(r)(E,1)/r! |
Ω |
0.29011780780111 |
Real period |
R |
2.1777474640505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ex4 3900c4 2496a4 |
Quadratic twists by: -4 8 5 |