Atkin-Lehner |
2- 3+ 7+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29526o |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
128929885056 = 27 · 34 · 72 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47926,4018355] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-729:1] |
Generators of the group modulo torsion |
j |
12174127021137418849/128929885056 |
j-invariant |
L |
7.2304049541533 |
L(r)(E,1)/r! |
Ω |
0.94303519292328 |
Real period |
R |
0.091275755242369 |
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 |
88578j1 |
Quadratic twists by: -3 |