Atkin-Lehner |
3- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
70707k |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
4574559827344689 = 310 · 76 · 13 · 373 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-676177,-214043665] |
[a1,a2,a3,a4,a6] |
Generators |
[773395:33440315:343] |
Generators of the group modulo torsion |
j |
290613464285776633/38883116961 |
j-invariant |
L |
8.3627564604089 |
L(r)(E,1)/r! |
Ω |
0.16648994881113 |
Real period |
R |
10.045959554955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1443d1 |
Quadratic twists by: -7 |