Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360dl |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-206248899521280 = -1 · 28 · 3 · 5 · 79 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -6 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21625,-1412797] |
[a1,a2,a3,a4,a6] |
Generators |
[849014:991221:4913] |
Generators of the group modulo torsion |
j |
-37135043584/6847995 |
j-invariant |
L |
8.9873006008418 |
L(r)(E,1)/r! |
Ω |
0.19489595209392 |
Real period |
R |
7.6855542763679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680l1 18480k1 |
Quadratic twists by: -4 -7 |