Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120i |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
39299097600 = 210 · 32 · 52 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-880,3472] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:90:1] |
Generators of the group modulo torsion |
j |
73682642884/38378025 |
j-invariant |
L |
6.9611246755077 |
L(r)(E,1)/r! |
Ω |
1.0114686194329 |
Real period |
R |
1.7205488472482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009676 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49560m2 |
Quadratic twists by: -4 |