Atkin-Lehner |
2+ 3- 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100674i |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-2.7198625235905E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -1 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2028348,1140357712] |
[a1,a2,a3,a4,a6] |
Generators |
[552:13460:1] |
Generators of the group modulo torsion |
j |
-1265970858601452921793/37309499637729536 |
j-invariant |
L |
5.5557728970268 |
L(r)(E,1)/r! |
Ω |
0.21011018125963 |
Real period |
R |
3.3052734910046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11186c1 |
Quadratic twists by: -3 |