Atkin-Lehner |
2+ 3+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
102306b |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-3930849418900274568 = -1 · 23 · 35 · 1711 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 2 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1122626,467190684] |
[a1,a2,a3,a4,a6] |
Generators |
[2959:150390:1] |
Generators of the group modulo torsion |
j |
-6482403749185993/162851918472 |
j-invariant |
L |
2.5559160416019 |
L(r)(E,1)/r! |
Ω |
0.24730808801335 |
Real period |
R |
5.167473604355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6018e1 |
Quadratic twists by: 17 |