Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800ch |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-25565848000000000 = -1 · 212 · 59 · 74 · 113 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22792,-7570412] |
[a1,a2,a3,a4,a6] |
Generators |
[222:2912:1] |
Generators of the group modulo torsion |
j |
163667323/3195731 |
j-invariant |
L |
3.3204130376506 |
L(r)(E,1)/r! |
Ω |
0.18331281144581 |
Real period |
R |
4.52834285212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1925l1 123200hc1 30800ct1 |
Quadratic twists by: -4 8 5 |