Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37100d |
Isogeny class |
Conductor |
37100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-623539700000000 = -1 · 28 · 58 · 76 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4908,1210312] |
[a1,a2,a3,a4,a6] |
Generators |
[506:8575:8] |
Generators of the group modulo torsion |
j |
-3269383504/155884925 |
j-invariant |
L |
3.4323599434221 |
L(r)(E,1)/r! |
Ω |
0.42606794256011 |
Real period |
R |
2.0139745334973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7420a1 |
Quadratic twists by: 5 |