Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65100t |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-6976311300000000 = -1 · 28 · 38 · 58 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1708,-4018088] |
[a1,a2,a3,a4,a6] |
Generators |
[178:1134:1] |
Generators of the group modulo torsion |
j |
-5513680/69763113 |
j-invariant |
L |
4.34003966348 |
L(r)(E,1)/r! |
Ω |
0.19127894386841 |
Real period |
R |
1.2605324440211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100y1 |
Quadratic twists by: 5 |