Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102300p |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-16188495468750000 = -1 · 24 · 34 · 510 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47033,7256688] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-1875:1] |
Generators of the group modulo torsion |
j |
-46025761275904/64753981875 |
j-invariant |
L |
9.2765241835416 |
L(r)(E,1)/r! |
Ω |
0.3525938542392 |
Real period |
R |
1.0962239860252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460b1 |
Quadratic twists by: 5 |