Atkin-Lehner |
2+ 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
70150c |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1671542968750000000 = -1 · 27 · 516 · 23 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 4 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,293250,-11423500] |
[a1,a2,a3,a4,a6] |
j |
178490634942028319/106978750000000 |
j-invariant |
L |
4.9612695324301 |
L(r)(E,1)/r! |
Ω |
0.15503967200657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14030f2 |
Quadratic twists by: 5 |