Atkin-Lehner |
2+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92510c |
Isogeny class |
Conductor |
92510 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-92510000 = -1 · 24 · 54 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 11- -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-278,1732] |
[a1,a2,a3,a4,a6] |
Generators |
[11:7:1] [8:6:1] |
Generators of the group modulo torsion |
j |
-2841193249/110000 |
j-invariant |
L |
6.7502678504576 |
L(r)(E,1)/r! |
Ω |
1.8905254387141 |
Real period |
R |
0.89264440878755 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92510p1 |
Quadratic twists by: 29 |