Atkin-Lehner |
2+ 3+ 7+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
102942b |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-22592662622208 = -1 · 212 · 39 · 73 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -3 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61818,5935796] |
[a1,a2,a3,a4,a6] |
Generators |
[100:814:1] |
Generators of the group modulo torsion |
j |
-1327337065299699/1147826176 |
j-invariant |
L |
2.6674184248756 |
L(r)(E,1)/r! |
Ω |
0.67274253302118 |
Real period |
R |
0.99124786607635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102942ba1 |
Quadratic twists by: -3 |