Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480bc |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-2.1898656312739E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1593464,2114703604] |
[a1,a2,a3,a4,a6] |
Generators |
[-13688580:787982098:24389] |
Generators of the group modulo torsion |
j |
386731778279/1892679680 |
j-invariant |
L |
5.1158430704399 |
L(r)(E,1)/r! |
Ω |
0.10511542782942 |
Real period |
R |
12.167203175475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310d1 74480cb1 |
Quadratic twists by: -4 -7 |