Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65268q |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-365721834781296 = -1 · 24 · 37 · 710 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 -4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50421,-4453855] |
[a1,a2,a3,a4,a6] |
Generators |
[520:10485:1] |
Generators of the group modulo torsion |
j |
-4302592/111 |
j-invariant |
L |
3.2473457554702 |
L(r)(E,1)/r! |
Ω |
0.15905787105459 |
Real period |
R |
5.1040318433294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21756h1 65268d1 |
Quadratic twists by: -3 -7 |