Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600b |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
37000000 = 26 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1225,16500] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:150:1] [4:108:1] |
Generators of the group modulo torsion |
j |
203297472/37 |
j-invariant |
L |
7.3598438912346 |
L(r)(E,1)/r! |
Ω |
1.9932313468617 |
Real period |
R |
3.6924182949575 |
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 |
29600r1 59200c2 1184e1 |
Quadratic twists by: -4 8 5 |