Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dm |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-24700642848000000 = -1 · 211 · 38 · 56 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19192,-7485612] |
[a1,a2,a3,a4,a6] |
Generators |
[388:7650:1] |
Generators of the group modulo torsion |
j |
207646/6561 |
j-invariant |
L |
6.7435012436731 |
L(r)(E,1)/r! |
Ω |
0.18225883748729 |
Real period |
R |
2.3124740261428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400n5 2352c6 1200a6 |
Quadratic twists by: -4 5 -7 |