Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950fr |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
44236800 |
Modular degree for the optimal curve |
Δ |
-5.0457741718689E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-620153213,-5944600405969] |
[a1,a2,a3,a4,a6] |
j |
-14348696196102335214841/274485585937500 |
j-invariant |
L |
3.8724356864285 |
L(r)(E,1)/r! |
Ω |
0.015126704081056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990t1 17850bv1 |
Quadratic twists by: 5 -7 |