Atkin-Lehner |
2+ 3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674r |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
151487448858984798 = 2 · 310 · 7 · 17 · 476 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-905877,-331102625] |
[a1,a2,a3,a4,a6] |
Generators |
[-543:953:1] [1109:4670:1] |
Generators of the group modulo torsion |
j |
112772745326705388625/207801713112462 |
j-invariant |
L |
8.395160362594 |
L(r)(E,1)/r! |
Ω |
0.15476768817484 |
Real period |
R |
9.0406040843831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558x2 |
Quadratic twists by: -3 |