Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37975l |
Isogeny class |
Conductor |
37975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15040512 |
Modular degree for the optimal curve |
Δ |
-9.4345190882683E+24 |
Discriminant |
Eigenvalues |
-2 3 5+ 7- -1 -1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41609575,180310587406] |
[a1,a2,a3,a4,a6] |
Generators |
[1394505:-239258177:729] |
Generators of the group modulo torsion |
j |
-4334063657515831296/5132293701171875 |
j-invariant |
L |
5.2700459283906 |
L(r)(E,1)/r! |
Ω |
0.065956901234428 |
Real period |
R |
2.4969174139471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7595f1 5425f1 |
Quadratic twists by: 5 -7 |