Atkin-Lehner |
3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
7029c |
Isogeny class |
Conductor |
7029 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
2092294377261 = 312 · 11 · 713 |
Discriminant |
Eigenvalues |
2 3- -1 -5 11+ 1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4053,-70853] |
[a1,a2,a3,a4,a6] |
j |
10100107472896/2870088309 |
j-invariant |
L |
2.4450832535587 |
L(r)(E,1)/r! |
Ω |
0.61127081338968 |
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 |
112464bm1 2343e1 77319r1 |
Quadratic twists by: -4 -3 -11 |