Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bj |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-235898707968 = -1 · 213 · 39 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12328,-523280] |
[a1,a2,a3,a4,a6] |
Generators |
[1868:80568:1] |
Generators of the group modulo torsion |
j |
-50591419971625/57592458 |
j-invariant |
L |
5.4425668915799 |
L(r)(E,1)/r! |
Ω |
0.22652379281742 |
Real period |
R |
6.006617256652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778k1 |
Quadratic twists by: -4 |