Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672be |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
2095078742949888 = 222 · 36 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2057115,1135625546] |
[a1,a2,a3,a4,a6] |
Generators |
[7864615:588175616:1331] |
Generators of the group modulo torsion |
j |
322412557611777625/701637632 |
j-invariant |
L |
8.2397618935663 |
L(r)(E,1)/r! |
Ω |
0.40017866201376 |
Real period |
R |
10.295103985853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12834s1 11408h1 |
Quadratic twists by: -4 -3 |