Atkin-Lehner |
3+ 5- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
94185j |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-476067030075 = -1 · 33 · 52 · 73 · 132 · 233 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -5 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-537,33540] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-3140:1] [33:227:1] |
Generators of the group modulo torsion |
j |
-634282610688/17632112225 |
j-invariant |
L |
6.3234089598455 |
L(r)(E,1)/r! |
Ω |
0.7812871876774 |
Real period |
R |
0.11241080850557 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94185d1 |
Quadratic twists by: -3 |