Atkin-Lehner |
2- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
103090l |
Isogeny class |
Conductor |
103090 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
950976 |
Modular degree for the optimal curve |
Δ |
-1851553747833010 = -1 · 2 · 5 · 138 · 613 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -2 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117036,-15598081] |
[a1,a2,a3,a4,a6] |
Generators |
[3419335577602534404:38433225002835196925:7392538765830464] |
Generators of the group modulo torsion |
j |
-217337935009/2269810 |
j-invariant |
L |
10.877754092882 |
L(r)(E,1)/r! |
Ω |
0.12897909202423 |
Real period |
R |
28.112448103446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103090f1 |
Quadratic twists by: 13 |