Atkin-Lehner |
2+ 3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440o |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35981262720000 = 210 · 35 · 54 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3240160,-2243824400] |
[a1,a2,a3,a4,a6] |
Generators |
[341505:12047126:125] |
Generators of the group modulo torsion |
j |
3673865548311192178564/35137951875 |
j-invariant |
L |
7.5312527462319 |
L(r)(E,1)/r! |
Ω |
0.11252730808967 |
Real period |
R |
8.3660278388508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720bb2 |
Quadratic twists by: -4 |