Atkin-Lehner |
2+ 3- 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910d |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2120452911506250000 = 24 · 312 · 58 · 172 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-161797500,-792106625664] |
[a1,a2,a3,a4,a6] |
Generators |
[15297838045837233:1528247509014829821:761298595091] |
Generators of the group modulo torsion |
j |
642556921242980781788760001/2908714556250000 |
j-invariant |
L |
4.0876423777094 |
L(r)(E,1)/r! |
Ω |
0.042330812356465 |
Real period |
R |
24.141057962397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974025 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23970w2 |
Quadratic twists by: -3 |