Atkin-Lehner |
7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108661a |
Isogeny class |
Conductor |
108661 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-219818256439663 = -1 · 7 · 198 · 432 |
Discriminant |
Eigenvalues |
1 0 -4 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13831,-345336] |
[a1,a2,a3,a4,a6] |
Generators |
[233622:2923633:5832] |
Generators of the group modulo torsion |
j |
6219352719/4672423 |
j-invariant |
L |
2.759413582055 |
L(r)(E,1)/r! |
Ω |
0.31335506211083 |
Real period |
R |
8.8060285571411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998426561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5719a1 |
Quadratic twists by: -19 |