Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240d |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1.1169288868068E+23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47927978,-128720272023] |
[a1,a2,a3,a4,a6] |
Generators |
[15831153408:2058921087839:804357] |
Generators of the group modulo torsion |
j |
-6468190632452541413376/59335868069786875 |
j-invariant |
L |
5.1207943029626 |
L(r)(E,1)/r! |
Ω |
0.028673758197561 |
Real period |
R |
14.88234837024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74480c1 5320e1 |
Quadratic twists by: -4 -7 |