Atkin-Lehner |
2+ 3- 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76590bb |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
930568500 = 22 · 37 · 53 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 -7 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-324,-1620] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:12:1] [-9:-18:1] |
Generators of the group modulo torsion |
j |
5168743489/1276500 |
j-invariant |
L |
8.7689718047667 |
L(r)(E,1)/r! |
Ω |
1.1454453780522 |
Real period |
R |
0.31897970186637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530bf1 |
Quadratic twists by: -3 |