Atkin-Lehner |
3- 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
101775l |
Isogeny class |
Conductor |
101775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
9529498575 = 32 · 52 · 233 · 592 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 -3 -3 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1406,19613] |
[a1,a2,a3,a4,a6] |
Generators |
[41:156:1] |
Generators of the group modulo torsion |
j |
12282748670785/381179943 |
j-invariant |
L |
8.4739578495598 |
L(r)(E,1)/r! |
Ω |
1.2876984039742 |
Real period |
R |
1.6451751825478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101775k1 |
Quadratic twists by: 5 |