Atkin-Lehner |
3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31635b |
Isogeny class |
Conductor |
31635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-46700377875 = -1 · 312 · 53 · 19 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,852,4059] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:401:8] [11:-122:1] |
Generators of the group modulo torsion |
j |
93824221184/64060875 |
j-invariant |
L |
6.145751294773 |
L(r)(E,1)/r! |
Ω |
0.71465632930645 |
Real period |
R |
2.1498974551651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10545h1 |
Quadratic twists by: -3 |