Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960ds |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10223616 |
Modular degree for the optimal curve |
Δ |
639372704256000 = 212 · 38 · 53 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-642373923,6266571041122] |
[a1,a2,a3,a4,a6] |
Generators |
[15074:92862:1] |
Generators of the group modulo torsion |
j |
9817478153357586761106721/214124625 |
j-invariant |
L |
6.0466233066143 |
L(r)(E,1)/r! |
Ω |
0.18310413516762 |
Real period |
R |
4.1278582353912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6435f1 34320cd1 |
Quadratic twists by: -4 -3 |