Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
94380t |
Isogeny class |
Conductor |
94380 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-751577433750000 = -1 · 24 · 35 · 57 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13754,-1159171] |
[a1,a2,a3,a4,a6] |
Generators |
[65:117:1] |
Generators of the group modulo torsion |
j |
1228254807296/3208359375 |
j-invariant |
L |
6.4915046096783 |
L(r)(E,1)/r! |
Ω |
0.26054988761003 |
Real period |
R |
2.4914632135274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94380p1 |
Quadratic twists by: -11 |