Atkin-Lehner |
2+ 3+ 5- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970g |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-12236400 = -1 · 24 · 33 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51,-107] |
[a1,a2,a3,a4,a6] |
Generators |
[46:127:8] |
Generators of the group modulo torsion |
j |
537367797/453200 |
j-invariant |
L |
5.9445740066004 |
L(r)(E,1)/r! |
Ω |
1.2447781130219 |
Real period |
R |
2.3878046862391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999720709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101970bg1 |
Quadratic twists by: -3 |