Atkin-Lehner |
2- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66836a |
Isogeny class |
Conductor |
66836 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1461888 |
Modular degree for the optimal curve |
Δ |
-3134226167388129968 = -1 · 24 · 715 · 113 · 31 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11+ -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3285613,-2292793810] |
[a1,a2,a3,a4,a6] |
Generators |
[4357309:197532671:1331] |
Generators of the group modulo torsion |
j |
-2083842283749376000/1665030178427 |
j-invariant |
L |
4.2927046099871 |
L(r)(E,1)/r! |
Ω |
0.056065362679574 |
Real period |
R |
6.3805060208537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9548b1 |
Quadratic twists by: -7 |