Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450cj |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-21599956028448000 = -1 · 28 · 312 · 53 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,32913,-6695379] |
[a1,a2,a3,a4,a6] |
Generators |
[334:-6607:1] |
Generators of the group modulo torsion |
j |
43269428370043/237036554496 |
j-invariant |
L |
5.7802002571346 |
L(r)(E,1)/r! |
Ω |
0.19178627972064 |
Real period |
R |
0.94183618502312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150cr2 72450ev2 |
Quadratic twists by: -3 5 |