Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
3650g |
Isogeny class |
Conductor |
3650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-38901700000000 = -1 · 28 · 58 · 733 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,674,-299952] |
[a1,a2,a3,a4,a6] |
Generators |
[277:4461:1] |
Generators of the group modulo torsion |
j |
86869895/99588352 |
j-invariant |
L |
1.3491958088013 |
L(r)(E,1)/r! |
Ω |
0.30139888297207 |
Real period |
R |
2.2382229746457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29200bd1 116800bh1 32850cd1 3650k1 |
Quadratic twists by: -4 8 -3 5 |