Atkin-Lehner |
2+ 3+ 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38130f |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8279040 |
Modular degree for the optimal curve |
Δ |
-7.2121102466623E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70426732,-261648380336] |
[a1,a2,a3,a4,a6] |
j |
-38631033840825747782090702281/7212110246662322165760000 |
j-invariant |
L |
0.20637195795198 |
L(r)(E,1)/r! |
Ω |
0.025796494748141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390bd1 |
Quadratic twists by: -3 |