Atkin-Lehner |
3- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20349d |
Isogeny class |
Conductor |
20349 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
319872 |
Modular degree for the optimal curve |
Δ |
4680689785173158589 = 36 · 77 · 177 · 19 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 4 3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-867054,-292802643] |
[a1,a2,a3,a4,a6] |
Generators |
[-791483:4708346:1331] |
Generators of the group modulo torsion |
j |
98885957283487055872/6420699293790341 |
j-invariant |
L |
3.1677457734216 |
L(r)(E,1)/r! |
Ω |
0.15709202232352 |
Real period |
R |
10.082452713283 |
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 |
2261b1 |
Quadratic twists by: -3 |