Atkin-Lehner |
3+ 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
101283l |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-614821785686199 = -1 · 35 · 710 · 132 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -6 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2743,-1190554] |
[a1,a2,a3,a4,a6] |
Generators |
[98:128:1] [160:1757:1] |
Generators of the group modulo torsion |
j |
19400056703/5225898951 |
j-invariant |
L |
6.9850049996836 |
L(r)(E,1)/r! |
Ω |
0.24172834637766 |
Real period |
R |
14.448046958049 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14469k1 |
Quadratic twists by: -7 |