Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650i |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2431260562500 = 22 · 38 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3717,45441] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-372:1] [-378:2889:8] |
Generators of the group modulo torsion |
j |
498677257/213444 |
j-invariant |
L |
6.3624924613567 |
L(r)(E,1)/r! |
Ω |
0.73594830099898 |
Real period |
R |
1.0806622647135 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11550cg2 1386l2 |
Quadratic twists by: -3 5 |