Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240t |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-885713249321600000 = -1 · 210 · 55 · 79 · 193 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 4 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-412400,-111402500] |
[a1,a2,a3,a4,a6] |
Generators |
[2630:130340:1] |
Generators of the group modulo torsion |
j |
-187714758172/21434375 |
j-invariant |
L |
4.4901546636566 |
L(r)(E,1)/r! |
Ω |
0.093596309567846 |
Real period |
R |
0.7995604891527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480q1 37240o1 |
Quadratic twists by: -4 -7 |