Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780b |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-159973227750000 = -1 · 24 · 3 · 56 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-330766,73332841] |
[a1,a2,a3,a4,a6] |
Generators |
[336:125:1] |
Generators of the group modulo torsion |
j |
-43389366194944/1734375 |
j-invariant |
L |
4.2073924146596 |
L(r)(E,1)/r! |
Ω |
0.53973825467239 |
Real period |
R |
1.2992076433553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108780br1 |
Quadratic twists by: -7 |