Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600k |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
296000 = 26 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65,-200] |
[a1,a2,a3,a4,a6] |
Generators |
[85:780:1] |
Generators of the group modulo torsion |
j |
3796416/37 |
j-invariant |
L |
5.6269167324651 |
L(r)(E,1)/r! |
Ω |
1.6823903006154 |
Real period |
R |
3.3445965127158 |
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 |
29600l1 59200dj1 29600bd1 |
Quadratic twists by: -4 8 5 |