Atkin-Lehner |
2+ 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47656f |
Isogeny class |
Conductor |
47656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-35074816 = -1 · 28 · 7 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ -1 -1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-897,10051] |
[a1,a2,a3,a4,a6] |
Generators |
[23:46:1] [-23:138:1] |
Generators of the group modulo torsion |
j |
-312136926208/137011 |
j-invariant |
L |
5.1227755387988 |
L(r)(E,1)/r! |
Ω |
2.0322993261215 |
Real period |
R |
0.31508495531119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95312c1 |
Quadratic twists by: -4 |