Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970ci |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-848980407945600000 = -1 · 210 · 33 · 55 · 76 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-443582,122159181] |
[a1,a2,a3,a4,a6] |
Generators |
[891:-21271:1] |
Generators of the group modulo torsion |
j |
-3038732943445107/267267200000 |
j-invariant |
L |
11.905946893009 |
L(r)(E,1)/r! |
Ω |
0.27540070639703 |
Real period |
R |
0.21615679655089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970b1 1530i1 |
Quadratic twists by: -3 -7 |