Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400o |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
-4174379580000000000 = -1 · 211 · 3 · 510 · 72 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-245208,108926412] |
[a1,a2,a3,a4,a6] |
Generators |
[221:8092:1] |
Generators of the group modulo torsion |
j |
-81526611650/208718979 |
j-invariant |
L |
4.7364891247995 |
L(r)(E,1)/r! |
Ω |
0.21786609464835 |
Real period |
R |
2.1740368244863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400dx1 |
Quadratic twists by: 5 |