Atkin-Lehner |
2- 3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658cp |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
22118400 |
Modular degree for the optimal curve |
Δ |
2.1434225292862E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-530687543,-4705728438643] |
[a1,a2,a3,a4,a6] |
Generators |
[-134021385933702063554643355:67289222745782664478420198:10076059862631555290191] |
Generators of the group modulo torsion |
j |
140492180287040918518806625/182187908888832 |
j-invariant |
L |
8.9537965441379 |
L(r)(E,1)/r! |
Ω |
0.031455010272662 |
Real period |
R |
35.581758101907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094x1 |
Quadratic twists by: -7 |