Atkin-Lehner |
2+ 3- 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910f |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1348018527413544120 = 23 · 37 · 5 · 178 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12739500,17504653176] |
[a1,a2,a3,a4,a6] |
Generators |
[3057:82860:1] |
Generators of the group modulo torsion |
j |
313655821417545611832001/1849133782460280 |
j-invariant |
L |
4.2904389895305 |
L(r)(E,1)/r! |
Ω |
0.24100163545147 |
Real period |
R |
4.4506326491933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970x6 |
Quadratic twists by: -3 |