Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800ba |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-341293500000000 = -1 · 28 · 35 · 59 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1292,889088] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-954:1] |
Generators of the group modulo torsion |
j |
476656/682587 |
j-invariant |
L |
7.3164107077824 |
L(r)(E,1)/r! |
Ω |
0.42285537771417 |
Real period |
R |
0.86511974227839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600j1 95400m1 31800j1 |
Quadratic twists by: -4 -3 5 |