Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970x |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4899840 |
Modular degree for the optimal curve |
Δ |
-1.4028988716417E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2382525,1114690261] |
[a1,a2,a3,a4,a6] |
Generators |
[46329965:2736217634:29791] |
Generators of the group modulo torsion |
j |
41870910074901457151/39273784934400000 |
j-invariant |
L |
4.8850214241728 |
L(r)(E,1)/r! |
Ω |
0.09944706051509 |
Real period |
R |
12.280457050717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990bu1 74970bp1 |
Quadratic twists by: -3 -7 |