Atkin-Lehner |
2+ 3- 7- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42294j |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
135312318578884608 = 216 · 37 · 72 · 193 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-280855,-54510022] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:1820:1] |
Generators of the group modulo torsion |
j |
2450010632258099031913/135312318578884608 |
j-invariant |
L |
6.42652399265 |
L(r)(E,1)/r! |
Ω |
0.20809971239536 |
Real period |
R |
2.2058532554551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882bn1 |
Quadratic twists by: -3 |