Atkin-Lehner |
2- 3- 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
102510q |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-196579867852800 = -1 · 215 · 36 · 52 · 173 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7972,614431] |
[a1,a2,a3,a4,a6] |
Generators |
[325:-6283:1] |
Generators of the group modulo torsion |
j |
76868627284359/269656883200 |
j-invariant |
L |
10.577978502281 |
L(r)(E,1)/r! |
Ω |
0.40117350023894 |
Real period |
R |
0.14648661297866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11390e1 |
Quadratic twists by: -3 |