Atkin-Lehner |
3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675o |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
389120 |
Modular degree for the optimal curve |
Δ |
-1986122583984375 = -1 · 33 · 59 · 172 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 4 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42867,-4022584] |
[a1,a2,a3,a4,a6] |
Generators |
[830760:-2247232:3375] |
Generators of the group modulo torsion |
j |
-165198036303/37662769 |
j-invariant |
L |
6.4995080665309 |
L(r)(E,1)/r! |
Ω |
0.16391032810203 |
Real period |
R |
9.9132070310553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72675k1 72675j1 |
Quadratic twists by: -3 5 |