Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320o |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
521122187250000 = 24 · 311 · 56 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20478,-256727] |
[a1,a2,a3,a4,a6] |
j |
81421447161856/44677828125 |
j-invariant |
L |
3.4126972482675 |
L(r)(E,1)/r! |
Ω |
0.42658718034133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440ba1 |
Quadratic twists by: -3 |