Atkin-Lehner |
3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94017l |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-69724001241741 = -1 · 3 · 7 · 116 · 374 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10101,-89154] |
[a1,a2,a3,a4,a6] |
Generators |
[18:305:1] [39:585:1] |
Generators of the group modulo torsion |
j |
64336588343/39357381 |
j-invariant |
L |
5.3035939073472 |
L(r)(E,1)/r! |
Ω |
0.35703095376521 |
Real period |
R |
3.7136793401962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
777a4 |
Quadratic twists by: -11 |