Atkin-Lehner |
2+ 5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350u |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3600000 |
Modular degree for the optimal curve |
Δ |
-7.990659843712E+20 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -3 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-81200,-1360096000] |
[a1,a2,a3,a4,a6] |
j |
-151579378513705/2045608919990272 |
j-invariant |
L |
2.1740678942774 |
L(r)(E,1)/r! |
Ω |
0.07246893037067 |
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 |
77350bb1 |
Quadratic twists by: 5 |