Atkin-Lehner |
2- 3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bm |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9269078378906250 = 2 · 312 · 510 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69908,5417277] |
[a1,a2,a3,a4,a6] |
Generators |
[3006:43815:8] |
Generators of the group modulo torsion |
j |
51828780752419321/12714785156250 |
j-invariant |
L |
5.7321212688693 |
L(r)(E,1)/r! |
Ω |
0.38493209270309 |
Real period |
R |
7.4456266102547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790c2 |
Quadratic twists by: -3 |