Atkin-Lehner |
3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475m |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6621696 |
Modular degree for the optimal curve |
Δ |
-35741376042075 = -1 · 39 · 52 · 116 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 11- -4 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-111495960,453144601496] |
[a1,a2,a3,a4,a6] |
Generators |
[762030:-1696:125] |
Generators of the group modulo torsion |
j |
-311508430491666937282560/72634001 |
j-invariant |
L |
3.6029284731358 |
L(r)(E,1)/r! |
Ω |
0.26616092804542 |
Real period |
R |
1.1280545316528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999466246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475c1 101475y1 |
Quadratic twists by: -3 5 |