Atkin-Lehner |
2- 3+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
102942be |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-429260589821952 = -1 · 212 · 39 · 73 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -2 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2648,-997541] |
[a1,a2,a3,a4,a6] |
j |
-104287581243/21808697344 |
j-invariant |
L |
8.5096964053399 |
L(r)(E,1)/r! |
Ω |
0.23638045427527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942f1 |
Quadratic twists by: -3 |