Atkin-Lehner |
2- 3+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640by |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-4747051008000 = -1 · 217 · 34 · 53 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1360,-103488] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-630:1] |
Generators of the group modulo torsion |
j |
67867385039/1158948000 |
j-invariant |
L |
7.5915637572916 |
L(r)(E,1)/r! |
Ω |
0.37608570575019 |
Real period |
R |
0.84107199549334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330bc1 |
Quadratic twists by: -4 |