Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10950c |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6739035706054687500 = 22 · 35 · 512 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2025002775,-35074944714375] |
[a1,a2,a3,a4,a6] |
Generators |
[-713031239146215491879889284568873353141:356394770530334030552881064279729967500:27444180154227132030094305556347491] |
Generators of the group modulo torsion |
j |
58773364740520165234358226289/431298285187500 |
j-invariant |
L |
2.5826937942826 |
L(r)(E,1)/r! |
Ω |
0.022505732312172 |
Real period |
R |
57.378577121124 |
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 |
87600cf4 32850bq4 2190o3 |
Quadratic twists by: -4 -3 5 |