Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bf |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
9421937250000 = 24 · 3 · 56 · 112 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104281,12995500] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:32571:8] |
Generators of the group modulo torsion |
j |
7838328411061141504/588871078125 |
j-invariant |
L |
6.8332767290829 |
L(r)(E,1)/r! |
Ω |
0.69361824610992 |
Real period |
R |
3.2838797327968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020j3 |
Quadratic twists by: -4 |