Atkin-Lehner |
2- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70642m |
Isogeny class |
Conductor |
70642 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-30873700026211328 = -1 · 210 · 113 · 137 · 192 |
Discriminant |
Eigenvalues |
2- 0 0 0 11- 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,26670,8279249] |
[a1,a2,a3,a4,a6] |
Generators |
[777:-22697:1] |
Generators of the group modulo torsion |
j |
434658234375/6396296192 |
j-invariant |
L |
9.4480674421333 |
L(r)(E,1)/r! |
Ω |
0.27533079846454 |
Real period |
R |
0.57192218078955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5434a1 |
Quadratic twists by: 13 |