Atkin-Lehner |
2+ 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610p |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1233792 |
Modular degree for the optimal curve |
Δ |
-6323849579531250 = -1 · 2 · 39 · 57 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -1 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,39283,-2362329] |
[a1,a2,a3,a4,a6] |
j |
39667394382128591/37419228281250 |
j-invariant |
L |
1.6203644861991 |
L(r)(E,1)/r! |
Ω |
0.23148056054408 |
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 |
116610bs1 |
Quadratic twists by: 13 |