Atkin-Lehner |
2+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103246a |
Isogeny class |
Conductor |
103246 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2225664 |
Modular degree for the optimal curve |
Δ |
565977633683631884 = 22 · 113 · 138 · 194 |
Discriminant |
Eigenvalues |
2+ 0 -3 3 11+ 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1105991,-445946047] |
[a1,a2,a3,a4,a6] |
Generators |
[6712:539303:1] |
Generators of the group modulo torsion |
j |
1148059265489903673/4342950358604 |
j-invariant |
L |
2.577621147925 |
L(r)(E,1)/r! |
Ω |
0.14725174413082 |
Real period |
R |
1.4587383182483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103246n1 |
Quadratic twists by: -19 |