Atkin-Lehner |
3- 7+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
67599c |
Isogeny class |
Conductor |
67599 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
-220735984905185967 = -1 · 39 · 710 · 29 · 372 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,150565,2262026] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1168:1] |
Generators of the group modulo torsion |
j |
517810643947028375/302792846234823 |
j-invariant |
L |
2.3404179740884 |
L(r)(E,1)/r! |
Ω |
0.19064009641772 |
Real period |
R |
3.0691575615641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22533c1 |
Quadratic twists by: -3 |