Atkin-Lehner |
3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475bt |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-210624046875 = -1 · 36 · 56 · 11 · 412 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 11- 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,600,-21344] |
[a1,a2,a3,a4,a6] |
j |
2097152/18491 |
j-invariant |
L |
0.98998190994394 |
L(r)(E,1)/r! |
Ω |
0.49499098010646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11275a1 4059e1 |
Quadratic twists by: -3 5 |