Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400t |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
3206250000 = 24 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9375,-349375] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:3:1] |
Generators of the group modulo torsion |
j |
540000000/19 |
j-invariant |
L |
4.8581548561154 |
L(r)(E,1)/r! |
Ω |
0.48518532030347 |
Real period |
R |
1.6688313561407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200cb1 68400s1 68400h1 |
Quadratic twists by: -4 -3 5 |