Atkin-Lehner |
2+ 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
103090i |
Isogeny class |
Conductor |
103090 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1633413600 |
Modular degree for the optimal curve |
Δ |
-5.381995521785E+23 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6309307619593,6099870710411252556] |
[a1,a2,a3,a4,a6] |
Generators |
[10011030:3236057431:8] |
Generators of the group modulo torsion |
j |
-201481556307820499158104352302529/3904000000000 |
j-invariant |
L |
2.2560125079117 |
L(r)(E,1)/r! |
Ω |
0.02176138955917 |
Real period |
R |
11.518936199024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999401782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103090n1 |
Quadratic twists by: 13 |