Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cf |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6048000 |
Modular degree for the optimal curve |
Δ |
-1.2321761676217E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53504334,-150623684492] |
[a1,a2,a3,a4,a6] |
Generators |
[10038924050678323370063411252625535:1113623562895691763003722353556283112:616869810293075081614592779625] |
Generators of the group modulo torsion |
j |
-82258857972188401/59836320 |
j-invariant |
L |
5.8151789298128 |
L(r)(E,1)/r! |
Ω |
0.027910800919993 |
Real period |
R |
52.08717358633 |
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 |
27930ce1 83790u1 |
Quadratic twists by: -3 -7 |