Atkin-Lehner |
3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
102675c |
Isogeny class |
Conductor |
102675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13789440 |
Modular degree for the optimal curve |
Δ |
-2.6604856959313E+24 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 0 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-82322533,-297983211657] |
[a1,a2,a3,a4,a6] |
Generators |
[428507936031:73403102715886:13312053] |
Generators of the group modulo torsion |
j |
-1539038632738816/66363694875 |
j-invariant |
L |
3.0685198852676 |
L(r)(E,1)/r! |
Ω |
0.024997451456032 |
Real period |
R |
15.344163637366 |
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 |
20535b1 2775a1 |
Quadratic twists by: 5 37 |