Atkin-Lehner |
2- 3- 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100674bt |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-7781831199072 = -1 · 25 · 39 · 7 · 17 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-635,-134197] |
[a1,a2,a3,a4,a6] |
Generators |
[63:238:1] |
Generators of the group modulo torsion |
j |
-38786091625/10674665568 |
j-invariant |
L |
12.221221431745 |
L(r)(E,1)/r! |
Ω |
0.33098694921724 |
Real period |
R |
1.8461787482369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33558g1 |
Quadratic twists by: -3 |