Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480m |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2382187500000000000 = -1 · 211 · 32 · 516 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,195040,66381600] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:3050:1] |
Generators of the group modulo torsion |
j |
400647648358480318/1163177490234375 |
j-invariant |
L |
4.2600552189017 |
L(r)(E,1)/r! |
Ω |
0.1817598801819 |
Real period |
R |
2.929727406454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240bj6 73920ge5 55440h5 92400cm5 |
Quadratic twists by: -4 8 -3 5 |