Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520s |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-134559457653241600 = -1 · 28 · 52 · 714 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-187980,-35931328] |
[a1,a2,a3,a4,a6] |
Generators |
[408975239950905863244:6766246876995332693288:629782006874229747] |
Generators of the group modulo torsion |
j |
-24391176723664/4467720775 |
j-invariant |
L |
12.532673521703 |
L(r)(E,1)/r! |
Ω |
0.11351198629324 |
Real period |
R |
27.602092912786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999618436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60760p2 17360a2 |
Quadratic twists by: -4 -7 |