Atkin-Lehner |
2+ 3+ 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950b |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
-15463500000 = -1 · 25 · 3 · 56 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9100,-338000] |
[a1,a2,a3,a4,a6] |
Generators |
[819:22880:1] |
Generators of the group modulo torsion |
j |
-5334607002817/989664 |
j-invariant |
L |
2.6840662646257 |
L(r)(E,1)/r! |
Ω |
0.24439829025382 |
Real period |
R |
5.4911724837498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997451299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4758j1 |
Quadratic twists by: 5 |