Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390g |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2440297617187500 = -1 · 22 · 32 · 510 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65734,6902996] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:3107:1] |
Generators of the group modulo torsion |
j |
-31411190462124794329/2440297617187500 |
j-invariant |
L |
3.3312681846399 |
L(r)(E,1)/r! |
Ω |
0.44965987876805 |
Real period |
R |
1.8521044137664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120bl2 37170bf2 61950bq2 86730o2 |
Quadratic twists by: -4 -3 5 -7 |