Atkin-Lehner |
2- 3+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37488p |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
282178473984 = 212 · 36 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11+ 5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1717,10429] |
[a1,a2,a3,a4,a6] |
Generators |
[52:243:1] |
Generators of the group modulo torsion |
j |
136750071808/68891229 |
j-invariant |
L |
4.3777738748967 |
L(r)(E,1)/r! |
Ω |
0.86308869847465 |
Real period |
R |
2.5361089089879 |
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 |
2343g1 112464bh1 |
Quadratic twists by: -4 -3 |