Atkin-Lehner |
2+ 3- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
101802c |
Isogeny class |
Conductor |
101802 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
-5517348223751424 = -1 · 28 · 33 · 198 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6145,3578036] |
[a1,a2,a3,a4,a6] |
Generators |
[427:8666:1] |
Generators of the group modulo torsion |
j |
-1510633/324864 |
j-invariant |
L |
8.7043149389036 |
L(r)(E,1)/r! |
Ω |
0.34935726362638 |
Real period |
R |
4.1525375512439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101802h1 |
Quadratic twists by: -19 |