Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122740l |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-9328240 = -1 · 24 · 5 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 0 5- 1 0 -5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2717,-54511] |
[a1,a2,a3,a4,a6] |
Generators |
[286710:10437517:216] |
Generators of the group modulo torsion |
j |
-20212118784/85 |
j-invariant |
L |
6.1660969619159 |
L(r)(E,1)/r! |
Ω |
0.33063364112034 |
Real period |
R |
9.3246666647736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999654576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122740k1 |
Quadratic twists by: -19 |