Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390g |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
179097450000 = 24 · 3 · 55 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66914,6656612] |
[a1,a2,a3,a4,a6] |
Generators |
[185:693:1] |
Generators of the group modulo torsion |
j |
33133350772074993049/179097450000 |
j-invariant |
L |
3.3312681846399 |
L(r)(E,1)/r! |
Ω |
0.89931975753609 |
Real period |
R |
3.7042088275329 |
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 |
99120bl1 37170bf1 61950bq1 86730o1 |
Quadratic twists by: -4 -3 5 -7 |