Atkin-Lehner |
2+ 3+ 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10434a |
Isogeny class |
Conductor |
10434 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1148112 |
Modular degree for the optimal curve |
Δ |
-3.0303453641711E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -3 5 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7702149,-11743654707] |
[a1,a2,a3,a4,a6] |
Generators |
[38370345471167782646032651:-3134979180976171890398950374:4933688715413903351789] |
Generators of the group modulo torsion |
j |
-50531192563070333260406233/30303453641711290417152 |
j-invariant |
L |
3.5754004114233 |
L(r)(E,1)/r! |
Ω |
0.044102902693925 |
Real period |
R |
40.534751603955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83472s1 31302l1 |
Quadratic twists by: -4 -3 |