Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970dq |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
72872042368860 = 22 · 37 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140027,-20128881] |
[a1,a2,a3,a4,a6] |
Generators |
[779:18132:1] |
Generators of the group modulo torsion |
j |
3540302642521/849660 |
j-invariant |
L |
10.024120399009 |
L(r)(E,1)/r! |
Ω |
0.2468045179772 |
Real period |
R |
2.5384767267423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990g2 10710bh2 |
Quadratic twists by: -3 -7 |