Atkin-Lehner |
2+ 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58520f |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
4.2188923052911E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11+ 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-999395,-224431382] |
[a1,a2,a3,a4,a6] |
Generators |
[-599:12635:1] |
Generators of the group modulo torsion |
j |
6899469212005083867136/2636807690806953125 |
j-invariant |
L |
4.0232578481421 |
L(r)(E,1)/r! |
Ω |
0.15594187155398 |
Real period |
R |
0.30713961738966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040u1 |
Quadratic twists by: -4 |