Atkin-Lehner |
7- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121471c |
Isogeny class |
Conductor |
121471 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142272 |
Modular degree for the optimal curve |
Δ |
19540675357 = 76 · 37 · 672 |
Discriminant |
Eigenvalues |
2 1 -4 7- -3 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-800,5275] |
[a1,a2,a3,a4,a6] |
Generators |
[452:303:64] |
Generators of the group modulo torsion |
j |
481890304/166093 |
j-invariant |
L |
8.7341247502773 |
L(r)(E,1)/r! |
Ω |
1.1204383541587 |
Real period |
R |
3.8976373515265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2479a1 |
Quadratic twists by: -7 |