Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970o |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-5290877698041600 = -1 · 28 · 310 · 52 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6165,3493125] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-2010:1] |
Generators of the group modulo torsion |
j |
302111711/61689600 |
j-invariant |
L |
4.7207449399924 |
L(r)(E,1)/r! |
Ω |
0.33204115548772 |
Real period |
R |
0.88858430308068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990cf1 10710m1 |
Quadratic twists by: -3 -7 |