Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280df |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
1.840582464897E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7590348,4709558672] |
[a1,a2,a3,a4,a6] |
Generators |
[104769010576595881567030:-683170645967956294500352:43792686810030759875] |
Generators of the group modulo torsion |
j |
6832900384593441003/2600468480000000 |
j-invariant |
L |
6.9057455963766 |
L(r)(E,1)/r! |
Ω |
0.11174438409959 |
Real period |
R |
30.899743428003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280b1 22320bb1 89280ds1 |
Quadratic twists by: -4 8 -3 |