Atkin-Lehner |
2- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
72512z |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
136192 |
Modular degree for the optimal curve |
Δ |
-79235820224 = -1 · 26 · 11 · 1034 |
Discriminant |
Eigenvalues |
2- -3 3 0 11- -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4486,-116438] |
[a1,a2,a3,a4,a6] |
Generators |
[13505:101551:125] |
Generators of the group modulo torsion |
j |
-155998903546368/1238059691 |
j-invariant |
L |
4.785760225821 |
L(r)(E,1)/r! |
Ω |
0.29154055112169 |
Real period |
R |
8.2077093687604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72512w1 36256d1 |
Quadratic twists by: -4 8 |