Atkin-Lehner |
2+ 5- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
67450g |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
300000 |
Modular degree for the optimal curve |
Δ |
-2197537862500000 = -1 · 25 · 58 · 195 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20383,1952541] |
[a1,a2,a3,a4,a6] |
Generators |
[2743325:96218812:2197] |
Generators of the group modulo torsion |
j |
2397485591415/5625696928 |
j-invariant |
L |
3.9721341939875 |
L(r)(E,1)/r! |
Ω |
0.32213146995849 |
Real period |
R |
12.330785920603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67450m1 |
Quadratic twists by: 5 |