Atkin-Lehner |
3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275cg |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-57804032794921875 = -1 · 33 · 59 · 77 · 113 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 11- 4 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-55125,12594531] |
[a1,a2,a3,a4,a6] |
j |
-2985984/9317 |
j-invariant |
L |
7.4260393343333 |
L(r)(E,1)/r! |
Ω |
0.30941825388651 |
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 |
121275cb1 121275cj1 17325h1 |
Quadratic twists by: -3 5 -7 |