Atkin-Lehner |
2- 3+ 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
93330y |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
3609600 |
Modular degree for the optimal curve |
Δ |
-9.7425169160602E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1942403,-1144604669] |
[a1,a2,a3,a4,a6] |
Generators |
[2011:54482:1] |
Generators of the group modulo torsion |
j |
-30017723908978802204307/3608339598540800000 |
j-invariant |
L |
8.6238969676064 |
L(r)(E,1)/r! |
Ω |
0.063513600017316 |
Real period |
R |
2.2630053417221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93330e1 |
Quadratic twists by: -3 |