Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600b |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4312000000 = 29 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2875,59250] |
[a1,a2,a3,a4,a6] |
Generators |
[46:156:1] |
Generators of the group modulo torsion |
j |
328509000/539 |
j-invariant |
L |
4.8652013292688 |
L(r)(E,1)/r! |
Ω |
1.3822261853207 |
Real period |
R |
3.5198300977063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600bo2 123200m2 2464l2 |
Quadratic twists by: -4 8 5 |