Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040ce |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-2821826800000000 = -1 · 210 · 58 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 2 6 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3812,-2557384] |
[a1,a2,a3,a4,a6] |
Generators |
[157:845:1] |
Generators of the group modulo torsion |
j |
-5982496199424/2755690234375 |
j-invariant |
L |
8.6041053574473 |
L(r)(E,1)/r! |
Ω |
0.20336018641223 |
Real period |
R |
1.0577421166437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040bb1 19760l1 |
Quadratic twists by: -4 8 |