Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200dg |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-113100800000000 = -1 · 217 · 58 · 472 |
Discriminant |
Eigenvalues |
2- -1 5- 0 5 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2764833,-1768582463] |
[a1,a2,a3,a4,a6] |
Generators |
[18877463:2231870576:1331] |
Generators of the group modulo torsion |
j |
-45652085444690/2209 |
j-invariant |
L |
4.9594239536403 |
L(r)(E,1)/r! |
Ω |
0.058539946145327 |
Real period |
R |
10.589828568436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200br1 18800g1 75200cp1 |
Quadratic twists by: -4 8 5 |