Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634t |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1169280 |
Modular degree for the optimal curve |
Δ |
-5.7417689680268E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -1 0 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2510874,-1573558988] |
[a1,a2,a3,a4,a6] |
Generators |
[161451190457:-10043580247249:36264691] |
Generators of the group modulo torsion |
j |
-49008900562345883761/1607393121140736 |
j-invariant |
L |
4.1391091935344 |
L(r)(E,1)/r! |
Ω |
0.05985161742417 |
Real period |
R |
17.289044856551 |
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 |
10878bb1 32634i1 |
Quadratic twists by: -3 -7 |