Atkin-Lehner |
2+ 3+ 13+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
102258a |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1145088 |
Modular degree for the optimal curve |
Δ |
18413879382392832 = 214 · 39 · 13 · 192 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 6 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67083,1465541] |
[a1,a2,a3,a4,a6] |
Generators |
[265:1366:1] |
Generators of the group modulo torsion |
j |
1696186062290979/935521992704 |
j-invariant |
L |
2.8505862951707 |
L(r)(E,1)/r! |
Ω |
0.33641109511732 |
Real period |
R |
4.2367602311747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102258q1 |
Quadratic twists by: -3 |