Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310z |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-170489075407257600 = -1 · 218 · 315 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,82791,-17643987] |
[a1,a2,a3,a4,a6] |
Generators |
[11502:437643:8] |
Generators of the group modulo torsion |
j |
86087999924407151/233867044454400 |
j-invariant |
L |
4.4364496710791 |
L(r)(E,1)/r! |
Ω |
0.16552780946115 |
Real period |
R |
6.7004597075278 |
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 |
7770z1 116550dw1 |
Quadratic twists by: -3 5 |