Atkin-Lehner |
3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100905d |
Isogeny class |
Conductor |
100905 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-10344339140625 = -1 · 39 · 57 · 7 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 -7 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3669,-127422] |
[a1,a2,a3,a4,a6] |
Generators |
[84:842:1] |
Generators of the group modulo torsion |
j |
5683764323471/10764140625 |
j-invariant |
L |
1.8277372633159 |
L(r)(E,1)/r! |
Ω |
0.37789817468405 |
Real period |
R |
4.8365865382612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000212315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100905p1 |
Quadratic twists by: -31 |