Atkin-Lehner |
3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21645o |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
659152839223125 = 36 · 54 · 134 · 373 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 1 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-49737,-4086810] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:422:1] |
Generators of the group modulo torsion |
j |
18665298626719744/904187708125 |
j-invariant |
L |
2.8110653184622 |
L(r)(E,1)/r! |
Ω |
0.32065095893645 |
Real period |
R |
1.0958431746883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2405a1 108225be1 |
Quadratic twists by: -3 5 |