Atkin-Lehner |
3- 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
101175h |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-293577323818359375 = -1 · 32 · 510 · 196 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,150849,13090573] |
[a1,a2,a3,a4,a6] |
Generators |
[82504:3260367:512] |
Generators of the group modulo torsion |
j |
24296019709826591/18788948724375 |
j-invariant |
L |
6.5143949097817 |
L(r)(E,1)/r! |
Ω |
0.19733511734779 |
Real period |
R |
8.2529594624505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20235c1 |
Quadratic twists by: 5 |