Atkin-Lehner |
3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23373a |
Isogeny class |
Conductor |
23373 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36672 |
Modular degree for the optimal curve |
Δ |
-14750022483 = -1 · 37 · 74 · 532 |
Discriminant |
Eigenvalues |
0 3- -2 7+ -4 -3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21756,1235155] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:1192:1] [-238:10895:8] |
Generators of the group modulo torsion |
j |
-650640621568/8427 |
j-invariant |
L |
5.7309893868129 |
L(r)(E,1)/r! |
Ω |
1.1362898772937 |
Real period |
R |
0.21014991792345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7791a1 23373d1 |
Quadratic twists by: -3 -7 |