Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650o |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-153185044969687500 = -1 · 22 · 314 · 57 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,122058,-9260784] |
[a1,a2,a3,a4,a6] |
Generators |
[114:2418:1] |
Generators of the group modulo torsion |
j |
17655210697319/13448344140 |
j-invariant |
L |
4.2439421198992 |
L(r)(E,1)/r! |
Ω |
0.1812970250671 |
Real period |
R |
0.73152436559704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550ce4 6930bb4 |
Quadratic twists by: -3 5 |