Atkin-Lehner |
2+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49610h |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-154681368529600000 = -1 · 29 · 55 · 119 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11- -1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1761359,-899504787] |
[a1,a2,a3,a4,a6] |
Generators |
[9497:911149:1] |
Generators of the group modulo torsion |
j |
-341123303173859361/87313600000 |
j-invariant |
L |
5.2083462502479 |
L(r)(E,1)/r! |
Ω |
0.065524076415265 |
Real period |
R |
7.9487518713083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510i1 |
Quadratic twists by: -11 |