Atkin-Lehner |
2+ 3+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230i |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-446519040 = -1 · 28 · 3 · 5 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-127,-1211] |
[a1,a2,a3,a4,a6] |
Generators |
[30:137:1] |
Generators of the group modulo torsion |
j |
-229333309561/446519040 |
j-invariant |
L |
3.0130831836835 |
L(r)(E,1)/r! |
Ω |
0.6681351721047 |
Real period |
R |
2.2548455084261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840dl1 30690bh1 51150ch1 112530cg1 |
Quadratic twists by: -4 -3 5 -11 |