Atkin-Lehner |
2+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10094c |
Isogeny class |
Conductor |
10094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-2490470773030912 = -1 · 222 · 78 · 103 |
Discriminant |
Eigenvalues |
2+ -2 4 7- -2 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28299,-3022666] |
[a1,a2,a3,a4,a6] |
j |
-21302308926361/21168652288 |
j-invariant |
L |
1.4155274609825 |
L(r)(E,1)/r! |
Ω |
0.17694093262281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80752r1 90846dk1 1442b1 |
Quadratic twists by: -4 -3 -7 |