Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240u |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-20655023594240 = -1 · 28 · 5 · 73 · 196 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -5 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117105,15465157] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:5054:1] |
Generators of the group modulo torsion |
j |
-2022644931914752/235229405 |
j-invariant |
L |
4.4295973289669 |
L(r)(E,1)/r! |
Ω |
0.655844944493 |
Real period |
R |
0.28141797375024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480r1 37240p1 |
Quadratic twists by: -4 -7 |