Atkin-Lehner |
5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124315d |
Isogeny class |
Conductor |
124315 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
13589231998046875 = 59 · 236 · 47 |
Discriminant |
Eigenvalues |
-1 -1 5- -1 -3 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1878490,990173580] |
[a1,a2,a3,a4,a6] |
Generators |
[818:913:1] [1254:210969:8] |
Generators of the group modulo torsion |
j |
4952031207028849/91796875 |
j-invariant |
L |
6.2989602629843 |
L(r)(E,1)/r! |
Ω |
0.36540344964357 |
Real period |
R |
0.95768728177498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000011205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
235b1 |
Quadratic twists by: -23 |