Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634w |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-236987748938279808 = -1 · 27 · 311 · 710 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 5 -3 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-367803,89085541] |
[a1,a2,a3,a4,a6] |
Generators |
[269:2957:1] |
Generators of the group modulo torsion |
j |
-26721587137/1150848 |
j-invariant |
L |
3.0063753547527 |
L(r)(E,1)/r! |
Ω |
0.31035062907504 |
Real period |
R |
4.8435141950787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878bc1 32634j1 |
Quadratic twists by: -3 -7 |