Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61320s |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-44150400000 = -1 · 210 · 33 · 55 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3200,-69348] |
[a1,a2,a3,a4,a6] |
j |
-3540050035204/43115625 |
j-invariant |
L |
3.1714349493123 |
L(r)(E,1)/r! |
Ω |
0.31714349485948 |
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 |
122640q1 |
Quadratic twists by: -4 |