Atkin-Lehner |
2- 3+ 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
70950bf |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
779520 |
Modular degree for the optimal curve |
Δ |
-33167730592972800 = -1 · 228 · 35 · 52 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-81918,-12612549] |
[a1,a2,a3,a4,a6] |
Generators |
[369:2567:1] |
Generators of the group modulo torsion |
j |
-2431767537580734985/1326709223718912 |
j-invariant |
L |
6.0619241085553 |
L(r)(E,1)/r! |
Ω |
0.13759910545362 |
Real period |
R |
0.78669584697788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70950s1 |
Quadratic twists by: 5 |