Atkin-Lehner |
2- 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31312n |
Isogeny class |
Conductor |
31312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10464 |
Modular degree for the optimal curve |
Δ |
-51602176 = -1 · 28 · 19 · 1032 |
Discriminant |
Eigenvalues |
2- -2 -3 -5 -3 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,-369] |
[a1,a2,a3,a4,a6] |
Generators |
[35:206:1] [11:26:1] |
Generators of the group modulo torsion |
j |
-22478848/201571 |
j-invariant |
L |
3.9797141003588 |
L(r)(E,1)/r! |
Ω |
0.84552531350881 |
Real period |
R |
1.1766986856501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7828d1 125248bk1 |
Quadratic twists by: -4 8 |