Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4650m |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-1288311795000 = -1 · 23 · 32 · 54 · 315 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2375,-71475] |
[a1,a2,a3,a4,a6] |
Generators |
[65:200:1] |
Generators of the group modulo torsion |
j |
-2372030262025/2061298872 |
j-invariant |
L |
2.0120547547914 |
L(r)(E,1)/r! |
Ω |
0.32991096974251 |
Real period |
R |
0.20329270008429 |
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 |
37200dr1 13950dc1 4650bp2 |
Quadratic twists by: -4 -3 5 |