Atkin-Lehner |
2+ 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160o |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
937980421459200 = 28 · 310 · 52 · 72 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6754300,6758702800] |
[a1,a2,a3,a4,a6] |
Generators |
[1476:1660:1] |
Generators of the group modulo torsion |
j |
133114342192953584299216/3663986021325 |
j-invariant |
L |
6.2352543078554 |
L(r)(E,1)/r! |
Ω |
0.36242266409199 |
Real period |
R |
4.3010929815814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080ba2 |
Quadratic twists by: -4 |