Atkin-Lehner |
2- 3+ 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29526r |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
250584563712 = 216 · 3 · 72 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2223,-33291] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:90:1] |
Generators of the group modulo torsion |
j |
1214938544352625/250584563712 |
j-invariant |
L |
7.9420504479224 |
L(r)(E,1)/r! |
Ω |
0.70537638882755 |
Real period |
R |
0.70370678811664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88578s1 |
Quadratic twists by: -3 |