Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485n |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
669118290269625 = 33 · 53 · 79 · 173 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13164962,18388878736] |
[a1,a2,a3,a4,a6] |
Generators |
[1066:74069:1] |
Generators of the group modulo torsion |
j |
231598843578097029/614125 |
j-invariant |
L |
2.7818426641196 |
L(r)(E,1)/r! |
Ω |
0.33624589134534 |
Real period |
R |
2.7577463752183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37485d1 37485h1 |
Quadratic twists by: -3 -7 |