Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850bi |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
31426560 |
Modular degree for the optimal curve |
Δ |
-2.2329651452281E+25 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-226155617,-1328598483459] |
[a1,a2,a3,a4,a6] |
Generators |
[3329321365232254147582556713282815288706912710:504366302234466778860332553829847197024771112733:105384415034950351547400214625082710507707] |
Generators of the group modulo torsion |
j |
-277767636824223/4848615424 |
j-invariant |
L |
5.3994179372314 |
L(r)(E,1)/r! |
Ω |
0.019445441346312 |
Real period |
R |
69.417528561933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102850ct1 102850cs1 |
Quadratic twists by: 5 -11 |