Atkin-Lehner |
2- 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380bh |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-445800996000000 = -1 · 28 · 36 · 56 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19017,114318] |
[a1,a2,a3,a4,a6] |
Generators |
[3:414:1] |
Generators of the group modulo torsion |
j |
4075512579504/2388765625 |
j-invariant |
L |
5.2513283520328 |
L(r)(E,1)/r! |
Ω |
0.32018714960086 |
Real period |
R |
1.3667341007046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7820b2 |
Quadratic twists by: -3 |