Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275v |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-95543855859375 = -1 · 33 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,-470228] |
[a1,a2,a3,a4,a6] |
j |
-27/1925 |
j-invariant |
L |
2.1946615876831 |
L(r)(E,1)/r! |
Ω |
0.27433276671829 |
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 |
121275be1 24255s1 17325c1 |
Quadratic twists by: -3 5 -7 |