Atkin-Lehner |
2+ 7- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
119462c |
Isogeny class |
Conductor |
119462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
1452290932736 = 216 · 73 · 23 · 532 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8824,310080] |
[a1,a2,a3,a4,a6] |
Generators |
[20040:73455:512] |
Generators of the group modulo torsion |
j |
221565935212831/4234084352 |
j-invariant |
L |
8.7939086271007 |
L(r)(E,1)/r! |
Ω |
0.85166213268949 |
Real period |
R |
5.1627918032789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119462e1 |
Quadratic twists by: -7 |