Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208w |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-20962228224 = -1 · 211 · 3 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 2 -4 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,376,-6252] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2556:1] |
Generators of the group modulo torsion |
j |
24334/87 |
j-invariant |
L |
10.054997960702 |
L(r)(E,1)/r! |
Ω |
0.61673511537069 |
Real period |
R |
4.0758981084501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104g1 1392b1 |
Quadratic twists by: -4 -7 |