Atkin-Lehner |
2- 3- 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674bi |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-69327080041212 = -1 · 22 · 312 · 74 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1426,399705] |
[a1,a2,a3,a4,a6] |
Generators |
[190:5247:8] |
Generators of the group modulo torsion |
j |
440190077543/95098875228 |
j-invariant |
L |
13.093089387623 |
L(r)(E,1)/r! |
Ω |
0.47676549281076 |
Real period |
R |
3.4327907407334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558a1 |
Quadratic twists by: -3 |