Atkin-Lehner |
2+ 3- 5- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970z |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
812865581550 = 2 · 315 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11+ 7 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7929,-266297] |
[a1,a2,a3,a4,a6] |
j |
75627935783569/1115041950 |
j-invariant |
L |
2.0255370050013 |
L(r)(E,1)/r! |
Ω |
0.50638427181178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33990y1 |
Quadratic twists by: -3 |