Atkin-Lehner |
5+ 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
70525i |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-444955641279296875 = -1 · 510 · 76 · 13 · 313 |
Discriminant |
Eigenvalues |
1 2 5+ 7+ -1 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1401575,638886500] |
[a1,a2,a3,a4,a6] |
Generators |
[7862:112505:8] |
Generators of the group modulo torsion |
j |
-31179789579393025/45563457667 |
j-invariant |
L |
10.057911335433 |
L(r)(E,1)/r! |
Ω |
0.29671415497361 |
Real period |
R |
5.6496076368572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70525y1 |
Quadratic twists by: 5 |