Atkin-Lehner |
3+ 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
70707a |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
41253504201 = 36 · 76 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-932,4556] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:133:1] [28:23:1] |
Generators of the group modulo torsion |
j |
761048497/350649 |
j-invariant |
L |
6.6342598150977 |
L(r)(E,1)/r! |
Ω |
1.0253980786874 |
Real period |
R |
6.4699358746514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1443e1 |
Quadratic twists by: -7 |