Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296i |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-16095760128 = -1 · 28 · 38 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,6302] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:88:1] [13:72:1] |
Generators of the group modulo torsion |
j |
-9826000/86247 |
j-invariant |
L |
8.4872931552795 |
L(r)(E,1)/r! |
Ω |
1.0596910248615 |
Real period |
R |
4.0046074545122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648bd1 12432a1 |
Quadratic twists by: -4 -3 |