Atkin-Lehner |
2+ 3+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
37848b |
Isogeny class |
Conductor |
37848 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
24921600 |
Modular degree for the optimal curve |
Δ |
-9.4403466827569E+26 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 3 -2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-793860137,-8734953572691] |
[a1,a2,a3,a4,a6] |
Generators |
[876490:279360819:8] |
Generators of the group modulo torsion |
j |
-216130337515819506035463912448/3687635422951908028356411 |
j-invariant |
L |
3.2215647899516 |
L(r)(E,1)/r! |
Ω |
0.014206715624146 |
Real period |
R |
1.4172719768511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75696e1 113544k1 |
Quadratic twists by: -4 -3 |