Atkin-Lehner |
5+ 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123025g |
Isogeny class |
Conductor |
123025 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1010880 |
Modular degree for the optimal curve |
Δ |
-13718014039515625 = -1 · 56 · 7 · 195 · 373 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ -2 6 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-244476,46846223] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2002:1] |
Generators of the group modulo torsion |
j |
-103421260389441457/877952898529 |
j-invariant |
L |
4.6233421224414 |
L(r)(E,1)/r! |
Ω |
0.3990208321883 |
Real period |
R |
0.77244791631194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999277749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4921b1 |
Quadratic twists by: 5 |