Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
23400v |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-839411059500000000 = -1 · 28 · 317 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1375500,-622487500] |
[a1,a2,a3,a4,a6] |
j |
-789601498112/2302911 |
j-invariant |
L |
1.1150607640738 |
L(r)(E,1)/r! |
Ω |
0.06969129775461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800bq1 7800s1 23400bp1 |
Quadratic twists by: -4 -3 5 |