Atkin-Lehner |
2+ 5+ 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
102350a |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-4821094400000000000 = -1 · 221 · 511 · 232 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -5 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-467501,162124648] |
[a1,a2,a3,a4,a6] |
Generators |
[3682:218071:1] |
Generators of the group modulo torsion |
j |
-723185955235972801/308550041600000 |
j-invariant |
L |
6.0700124214072 |
L(r)(E,1)/r! |
Ω |
0.22814633871779 |
Real period |
R |
6.6514462153138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20470k1 |
Quadratic twists by: 5 |