Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400ca |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1987200 |
Modular degree for the optimal curve |
Δ |
-68469967500000000 = -1 · 28 · 3 · 510 · 113 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -6 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-570833,-166287963] |
[a1,a2,a3,a4,a6] |
Generators |
[1171:27742:1] |
Generators of the group modulo torsion |
j |
-8228329600000/27387987 |
j-invariant |
L |
2.6519456598702 |
L(r)(E,1)/r! |
Ω |
0.086827176159563 |
Real period |
R |
5.0904677030307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000165752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125400br1 |
Quadratic twists by: 5 |