Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950cu |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
16511040 |
Modular degree for the optimal curve |
Δ |
-2.0567405238187E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5400999,-21277622852] |
[a1,a2,a3,a4,a6] |
Generators |
[17494:243087:8] |
Generators of the group modulo torsion |
j |
3947714094191/46599266304 |
j-invariant |
L |
5.8974266471293 |
L(r)(E,1)/r! |
Ω |
0.049245983221398 |
Real period |
R |
6.653026258511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998239276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998bf1 124950e1 |
Quadratic twists by: 5 -7 |