Atkin-Lehner |
2+ 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310c |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-10722227040000 = -1 · 28 · 33 · 54 · 72 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,366,-157612] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1324:1] |
Generators of the group modulo torsion |
j |
200509785477/397119520000 |
j-invariant |
L |
4.2591121250671 |
L(r)(E,1)/r! |
Ω |
0.33471893579907 |
Real period |
R |
0.53018513812932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23310bc1 116550cy1 |
Quadratic twists by: -3 5 |