Atkin-Lehner |
3+ 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
70707b |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1949184 |
Modular degree for the optimal curve |
Δ |
61656581329629741 = 33 · 715 · 13 · 37 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 3 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1264706,-546883177] |
[a1,a2,a3,a4,a6] |
j |
1901536001449947136/524072294109 |
j-invariant |
L |
2.5626058706814 |
L(r)(E,1)/r! |
Ω |
0.14236699365568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10101c1 |
Quadratic twists by: -7 |