Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fz |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2711762390400000000 = 213 · 3 · 58 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37647680408,-2811599839436688] |
[a1,a2,a3,a4,a6] |
Generators |
[-1347390978148191789323629197146112655176212162:-7129229382149880415378551893634361764350:12027806628305815680695693835750933304519] |
Generators of the group modulo torsion |
j |
783736670177727068275201/360150 |
j-invariant |
L |
5.4433130464604 |
L(r)(E,1)/r! |
Ω |
0.010838395606056 |
Real period |
R |
62.778122844684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350bc7 11760ch7 8400cc7 |
Quadratic twists by: -4 5 -7 |